Datasets:

Dahoas
/

gsm_socratic_conditional

prompt stringlengths 62 1.01k	question stringlengths 42 985	answer stringlengths 122 1.66k	response stringlengths 122 1.66k	score_label float64 0 1
Q: Donovan Mitchell is currently averaging 26 points per game. His team has played 15 games this season. He has a goal of averaging 30 points per game for the entire 20 game season. How many points does he need to average per game to reach his goal? A: [Score: 0.0]	Donovan Mitchell is currently averaging 26 points per game. His team has played 15 games this season. He has a goal of averaging 30 points per game for the entire 20 game season. How many points does he need to average per game to reach his goal?	How many points has Donovan scored so far? ** At this point in the season, Donovan has scored 26 * 15 = <<2615=390>>390 points. How many points does Donovan need to average per game to reach his goal? * To reach his goal of 30 points per game, he would have to finish the season with a total of 30 * 20 = <<3020=600>>600 points. How many points does Donovan need to score in the remaining 5 games? * For the remaining 5 games, Donovan needs to score 600 - 390 = <<600-390=210>>210 points. How many points does Donovan need to average per game to reach his goal? ** Therefore, he needs to average 210 / 5 = <<210/5=42>>42 points per game. #### 42	How many points has Donovan scored so far? ** At this point in the season, Donovan has scored 26 * 15 = <<2615=390>>390 points. How many points does Donovan need to average per game to reach his goal? * To reach his goal of 30 points per game, he would have to finish the season with a total of 30 * 20 = <<3020=600>>600 points. How many points does Donovan need to score in the remaining 5 games? * For the remaining 5 games, Donovan needs to score 600 - 390 = <<600-390=210>>210 points. How many points does Donovan need to average per game to reach his goal? ** Therefore, he needs to average 210 / 5 = <<210/5=42>>42 points per game. #### 42	0
Q: Karl sells clothing in his store. He sells a T-shirt that costs $5, some pants that cost $4, and some skirts that cost $6, he also sells some refurbished t-shirts that cost half the original price. How much is his total income if he sold two T-shirts, one pair of pants, four skirts, and six refurbished T-shirts? A: [Score: 0.0]	Karl sells clothing in his store. He sells a T-shirt that costs $5, some pants that cost $4, and some skirts that cost $6, he also sells some refurbished t-shirts that cost half the original price. How much is his total income if he sold two T-shirts, one pair of pants, four skirts, and six refurbished T-shirts?	How much does the refurbished T-shirt cost? The refurbished T-shirt costs $5 / 2 = $<<5/2=2.5>>2.5. How much does the refurbished T-shirt earn? He earn $2.5 x 6 = $<<2.56=15>>15 for the refurbished T-shirt. How much can he earn for the T-shirts? * He can earn $5 x 2 = $<<52=10>>10 for the T-shirts. How much can he earn for the pants? * He can earn $4 x 1 = $<<41=4>>4 for the pants. How much can he earn for the skirts? * He can earn $6 x 4 = $<<64=24>>24 for the skirts. How much can Karl earn? * Therefore Karl can earn a total of $15 + $10 + $4 + $24 = $<<15+10+4+24=53>>53. #### 53	How much does the refurbished T-shirt cost? The refurbished T-shirt costs $5 / 2 = $<<5/2=2.5>>2.5. How much does the refurbished T-shirt earn? He earn $2.5 x 6 = $<<2.56=15>>15 for the refurbished T-shirt. How much can he earn for the T-shirts? * He can earn $5 x 2 = $<<52=10>>10 for the T-shirts. How much can he earn for the pants? * He can earn $4 x 1 = $<<41=4>>4 for the pants. How much can he earn for the skirts? * He can earn $6 x 4 = $<<64=24>>24 for the skirts. How much can Karl earn? * Therefore Karl can earn a total of $15 + $10 + $4 + $24 = $<<15+10+4+24=53>>53. #### 53	0
Q: It takes Jason 30 minutes to cut 1 lawn in his neighborhood. If he cuts 8 yards on both Saturday and Sunday, how many hours does he spend cutting grass? A: [Score: 0.0]	It takes Jason 30 minutes to cut 1 lawn in his neighborhood. If he cuts 8 yards on both Saturday and Sunday, how many hours does he spend cutting grass?	How many yards does Jason cut on both Saturday and Sunday? ** He cuts 8 yards on both Saturday and Sunday so that’s 28 = <<82=16>>16 yards How many minutes does it take Jason to cut 16 yards? ** It takes him 30 minutes to cut 1 yard so it takes him 3016 = <<3016=480>>480 minutes How many hours does Jason spend cutting grass? ** There are 60 minutes in 1 hour and it takes him 480 minutes so that’s a total of 480/60 = <<480/60=8>>8 hours #### 8	How many yards does Jason cut on both Saturday and Sunday? ** He cuts 8 yards on both Saturday and Sunday so that’s 28 = <<82=16>>16 yards How many minutes does it take Jason to cut 16 yards? ** It takes him 30 minutes to cut 1 yard so it takes him 3016 = <<3016=480>>480 minutes How many hours does Jason spend cutting grass? ** There are 60 minutes in 1 hour and it takes him 480 minutes so that’s a total of 480/60 = <<480/60=8>>8 hours #### 8	0
Q: Tom wants to make the world's largest dough ball. He needs 500 pounds of flour and he can buy 50-pound bags of flour for $20. He also needs 10 pounds of salt and salt cost $.2 a pound. He also spends $1000 promoting everything. He then sells tickets for $20 each and sells 500 tickets. How much money did he make? A: [Score: 0.0]	Tom wants to make the world's largest dough ball. He needs 500 pounds of flour and he can buy 50-pound bags of flour for $20. He also needs 10 pounds of salt and salt cost $.2 a pound. He also spends $1000 promoting everything. He then sells tickets for $20 each and sells 500 tickets. How much money did he make?	How many bags of flour does Tom need? He needs 500/50=<<500/50=10>>10 bags of flour How much did the bags of flour cost? That cost 2010=$<<2010=200>>200 How much salt does Tom need? ** He needs 10.2=$<<10.2=2>>2 worth of salt How much did Tom spend? So everything cost 1000+200+2=$<<1000+200+2=1202>>1202 How much money did Tom make? He makes 20500=$<<20500=10000>>10,000 selling tickets How much money did Tom make? ** So he makes a profit of 10000-1202=$<<10000-1202=8798>>8798 #### 8798	How many bags of flour does Tom need? He needs 500/50=<<500/50=10>>10 bags of flour How much did the bags of flour cost? That cost 2010=$<<2010=200>>200 How much salt does Tom need? ** He needs 10.2=$<<10.2=2>>2 worth of salt How much did Tom spend? So everything cost 1000+200+2=$<<1000+200+2=1202>>1202 How much money did Tom make? He makes 20500=$<<20500=10000>>10,000 selling tickets How much money did Tom make? ** So he makes a profit of 10000-1202=$<<10000-1202=8798>>8798 #### 8798	0
Q: Lucille is wondering who has the tallest house between her and her neighbors. His family's house is 80 feet tall. One neighbor's house is 70 feet tall. Another neighbor's house is 99 feet tall. How much shorter is Lucille's house than the average height? A: [Score: 0.0]	Lucille is wondering who has the tallest house between her and her neighbors. His family's house is 80 feet tall. One neighbor's house is 70 feet tall. Another neighbor's house is 99 feet tall. How much shorter is Lucille's house than the average height?	How tall are the houses? The houses are 249 feet in total because 70 + 80 + 99 = <<70+80+99=249>>249 How tall is the average height? The average height is 83 feet because 249 / 3 = <<249/3=83>>83 How much shorter is Lucille's house than the average height? ** Her house is 3 feet shorter because 83 - 80 = <<83-80=3>>3 #### 3	How tall are the houses? The houses are 249 feet in total because 70 + 80 + 99 = <<70+80+99=249>>249 How tall is the average height? The average height is 83 feet because 249 / 3 = <<249/3=83>>83 How much shorter is Lucille's house than the average height? ** Her house is 3 feet shorter because 83 - 80 = <<83-80=3>>3 #### 3	0
Q: Jeff makes 10 donuts each day for 12 days. Jeff eats one of the donuts each day. Chris then comes over and eats 8 donuts. If 10 donuts fit in each box, how many boxes can Jeff fill with his donuts? A: [Score: 1.0]	Jeff makes 10 donuts each day for 12 days. Jeff eats one of the donuts each day. Chris then comes over and eats 8 donuts. If 10 donuts fit in each box, how many boxes can Jeff fill with his donuts?	How many donuts does Jeff make? ** Jeff makes a total of 10 * 12 = <<1012=120>>120 donuts. How many donuts does Jeff eat? * Jeff eats 1 * 12 = <<112=12>>12 donuts. How many donuts are left? * After Chris is done eating, there are 120 - 12 - 8 = <<120-12-8=100>>100 donuts remaining. How many boxes does Jeff need? ** Jeff needs 100 / 10 = <<100/10=10>>10 boxes to store all of his donuts. #### 10	How many donuts does Jeff make? ** Jeff makes a total of 10 * 12 = <<1012=120>>120 donuts. How many donuts does Jeff eat? * Jeff eats 1 * 12 = <<112=12>>12 donuts. How many donuts are left? * After Chris is done eating, there are 120 - 12 - 8 = <<120-12-8=100>>100 donuts remaining. How many boxes does Jeff need? ** Jeff needs 100 / 10 = <<100/10=10>>10 boxes to store all of his donuts. #### 10	1
Q: James scored 13 field goals worth 3 points and 20 shots worth two points. How many total points did he score? A: [Score: 0.5]	James scored 13 field goals worth 3 points and 20 shots worth two points. How many total points did he score?	How many points did James score from field goals? ** The field goals were worth 313=<<313=39>>39 points How many points did James score from two-point shots? ** The two-point shots were worth 220=<<220=40>>40 points How many total points did James score? ** So the total score is 39+40=<<39+40=79>>79 points #### 79	How many points did James score from field goals? ** The field goals were worth 313=<<313=39>>39 points How many points did James score from two-point shots? ** The two-point shots were worth 220=<<220=40>>40 points How many total points did James score? ** So the total score is 39+40=<<39+40=79>>79 points #### 79	0.5
Q: Stefan goes to a restaurant to eat dinner with his family. They order an appetizer that costs $10 and 4 entrees that are $20 each. If they tip 20% of the total for the waiter, what is the total amount of money that they spend at the restaurant? A: [Score: 0.5]	Stefan goes to a restaurant to eat dinner with his family. They order an appetizer that costs $10 and 4 entrees that are $20 each. If they tip 20% of the total for the waiter, what is the total amount of money that they spend at the restaurant?	How much do the entrees cost? ** The total cost of the entrees is 4 * $20 = $<<420=80>>80. What is the total cost of the dinner? * The total cost of the dinner is $80 + $10 = $<<80+10=90>>90. How much is the tip? ** The tip is $90 * 0.20 = $<<900.20=18>>18 What is the total cost with tip? * The total cost with tip is $90 + $18 = $<<90+18=108>>108 #### 108	How much do the entrees cost? ** The total cost of the entrees is 4 * $20 = $<<420=80>>80. What is the total cost of the dinner? * The total cost of the dinner is $80 + $10 = $<<80+10=90>>90. How much is the tip? ** The tip is $90 * 0.20 = $<<900.20=18>>18 What is the total cost with tip? * The total cost with tip is $90 + $18 = $<<90+18=108>>108 #### 108	0.5
Q: If Clover goes for a 1.5-mile walk in the morning and another 1.5-mile walk in the evening, every day, how many miles does he walk in 30 days? A: [Score: 0.5]	If Clover goes for a 1.5-mile walk in the morning and another 1.5-mile walk in the evening, every day, how many miles does he walk in 30 days?	How many miles does Clover walk in the morning? He walks 1.5 miles in the morning and 1.5 miles in the evening so that’s 1.5+1.5 = <<1.5+1.5=3>>3 miles How many miles does Clover walk in 30 days? If he walks 3 miles everyday, for 30 days then he walks 330 = <<330=90>>90 miles in 30 days #### 90	How many miles does Clover walk in the morning? He walks 1.5 miles in the morning and 1.5 miles in the evening so that’s 1.5+1.5 = <<1.5+1.5=3>>3 miles How many miles does Clover walk in 30 days? If he walks 3 miles everyday, for 30 days then he walks 330 = <<330=90>>90 miles in 30 days #### 90	0.5
Q: Kira wants some new music on her phone. She downloads 10 songs in the morning. Later on that day, she finds 15 more songs she likes so she downloads them, and at night a friend of hers recommends 3 more songs she also downloads. Knowing that each song has a size of 5 MB, how much memory space in MB will the new songs occupy? A: [Score: 0.0]	Kira wants some new music on her phone. She downloads 10 songs in the morning. Later on that day, she finds 15 more songs she likes so she downloads them, and at night a friend of hers recommends 3 more songs she also downloads. Knowing that each song has a size of 5 MB, how much memory space in MB will the new songs occupy?	How many songs are downloaded? The total number of songs downloaded is 10 songs + 15 songs + 3 songs = <<10+15+3=28>>28 songs How much space do the new songs take up? The total size of the songs is 28 songs x 5MB/song = <<28*5=140>>140 MB #### 140	How many songs are downloaded? The total number of songs downloaded is 10 songs + 15 songs + 3 songs = <<10+15+3=28>>28 songs How much space do the new songs take up? The total size of the songs is 28 songs x 5MB/song = <<28*5=140>>140 MB #### 140	0
Q: Luna, the poodle, is supposed to eat 2 cups of kibble every day. But Luna's master, Mary, and her husband, Frank, sometimes feed Luna too much kibble. One day, starting with a new, 12-cup bag of kibble, Mary gave Luna 1 cup of kibble in the morning and 1 cup of kibble in the evening, But on the same day, Frank also gave Luna 1 cup of kibble in the afternoon and twice as much in the late evening as he had given Luna in the afternoon. The next morning, how many cups of kibble will Mary find remaining in the bag? A: [Score: 0.5]	Luna, the poodle, is supposed to eat 2 cups of kibble every day. But Luna's master, Mary, and her husband, Frank, sometimes feed Luna too much kibble. One day, starting with a new, 12-cup bag of kibble, Mary gave Luna 1 cup of kibble in the morning and 1 cup of kibble in the evening, But on the same day, Frank also gave Luna 1 cup of kibble in the afternoon and twice as much in the late evening as he had given Luna in the afternoon. The next morning, how many cups of kibble will Mary find remaining in the bag?	How many cups of kibble did Mary give Luna? Mary fed Luna 1+1=2 cups of kibble. How many cups of kibble did Frank give Luna? Frank fed Luna 1-cup plus twice 1-cup, or 1+2=3 cups of kibble. How many cups of kibble did Mary and Frank give Luna? In total, they fed Luna 2+3=<<2+3=5>>5 cups of kibble. How many cups of kibble will Mary find remaining in the bag? Thus, if the new bag held 12 cups of kibble, the next morning, 12-5=<<12-5=7>>7 cups of kibble remained in the bag. #### 7	How many cups of kibble did Mary give Luna? Mary fed Luna 1+1=2 cups of kibble. How many cups of kibble did Frank give Luna? Frank fed Luna 1-cup plus twice 1-cup, or 1+2=3 cups of kibble. How many cups of kibble did Mary and Frank give Luna? In total, they fed Luna 2+3=<<2+3=5>>5 cups of kibble. How many cups of kibble will Mary find remaining in the bag? Thus, if the new bag held 12 cups of kibble, the next morning, 12-5=<<12-5=7>>7 cups of kibble remained in the bag. #### 7	0.5
Q: I went to the music shop and there were CDs of The Life Journey for $100, A Day a Life for $50, and When You Rescind for $85 on display. If I bought 3 of each CD to share with my friends, what's the total amount of money I spent in the shop? A: [Score: 0.0]	I went to the music shop and there were CDs of The Life Journey for $100, A Day a Life for $50, and When You Rescind for $85 on display. If I bought 3 of each CD to share with my friends, what's the total amount of money I spent in the shop?	How much does The Life Journey cost? ** The total cost of The Life Journey is 3 × $100 = $<<3100=300>>300. How much does When You Rescind cost? * The total cost of When You Rescind is 3 × $85 = $<<385=255>>255. How much does A Day a Life cost? * The total cost of A Day a Life is 3 × $50 = $<<350=150>>150. How much did I spend in the shop? * The total cost for all the CDs is $150 + $255 + $300 = $<<150+255+300=705>>705. #### 705	How much does The Life Journey cost? ** The total cost of The Life Journey is 3 × $100 = $<<3100=300>>300. How much does When You Rescind cost? * The total cost of When You Rescind is 3 × $85 = $<<385=255>>255. How much does A Day a Life cost? * The total cost of A Day a Life is 3 × $50 = $<<350=150>>150. How much did I spend in the shop? * The total cost for all the CDs is $150 + $255 + $300 = $<<150+255+300=705>>705. #### 705	0
Q: Jonas is trying to expand his wardrobe. He has 20 pairs of socks, 5 pairs of shoes, 10 pairs of pants and 10 t-shirts. How many pairs of socks does he need to buy to double the number of individual items in his wardrobe? A: [Score: 0.0]	Jonas is trying to expand his wardrobe. He has 20 pairs of socks, 5 pairs of shoes, 10 pairs of pants and 10 t-shirts. How many pairs of socks does he need to buy to double the number of individual items in his wardrobe?	How many individual socks are there? ** First, we must recognize that all pairs of shoes and socks are actually two items each, whereas the pants and the t-shirts are individual items. Therefore there are 202= <<202=40>>40 individual socks in 20 pairs of socks. How many individual shoes are there? ** Similarly, there are 52=<<52=10>>10 individual shoes in 5 pairs of shoes. How many individual items does Jonas have? Therefore, Jonas has 40+10+10+10= <<40+10+10+10=70>>70 individual items in his collection. How many individual items does Jonas need to buy to double the number of individual items in his wardrobe? To double this number, we perform 702=<<702=140>>140. How many new items do we need to buy to double the size? This means we need 140-70=<<140-70=70>>70 new items to double the size. How many new pairs of socks do we need to buy? Since there are 2 individual socks in each pair, we take 70/2= <<70/2=35>>35 new pairs of socks. #### 35	How many individual socks are there? ** First, we must recognize that all pairs of shoes and socks are actually two items each, whereas the pants and the t-shirts are individual items. Therefore there are 202= <<202=40>>40 individual socks in 20 pairs of socks. How many individual shoes are there? ** Similarly, there are 52=<<52=10>>10 individual shoes in 5 pairs of shoes. How many individual items does Jonas have? Therefore, Jonas has 40+10+10+10= <<40+10+10+10=70>>70 individual items in his collection. How many individual items does Jonas need to buy to double the number of individual items in his wardrobe? To double this number, we perform 702=<<702=140>>140. How many new items do we need to buy to double the size? This means we need 140-70=<<140-70=70>>70 new items to double the size. How many new pairs of socks do we need to buy? Since there are 2 individual socks in each pair, we take 70/2= <<70/2=35>>35 new pairs of socks. #### 35	0
Q: Mary has a mystery book library. She started with 72 mystery books at the beginning of the year. She joined a book club that sent her 1 book each month of the year. She went to a bookstore halfway through the year and bought 5 more books, then bought 2 books at yard sales later. Her daughter gave her another book for her birthday, and her mother gave her a series of 4 books when Mary visited her. She donated 12 books she didn't want to read again to a charity shop and sold 3 to a used book store. How many books did she have at the end of the year? A: [Score: 0.0]	Mary has a mystery book library. She started with 72 mystery books at the beginning of the year. She joined a book club that sent her 1 book each month of the year. She went to a bookstore halfway through the year and bought 5 more books, then bought 2 books at yard sales later. Her daughter gave her another book for her birthday, and her mother gave her a series of 4 books when Mary visited her. She donated 12 books she didn't want to read again to a charity shop and sold 3 to a used book store. How many books did she have at the end of the year?	How many books did Mary get from the book club? ** Mary got 1 * 12 = <<112=12>>12 books from the book club. How many books did Mary buy? * She bought 5 + 2 = <<5+2=7>>7 books. How many books did Mary get from her mother? She was given 1 + 4 = <<1+4=5>>5 books. How many books did Mary get rid of? She got rid of 12 + 3 = <<12+3=15>>15 books. How many books did Mary have at the end of the year? ** Thus, at the end of the year she had 72 + 12 + 7 + 5 - 15 = <<72+12+7+5-15=81>>81 books. #### 81	How many books did Mary get from the book club? ** Mary got 1 * 12 = <<112=12>>12 books from the book club. How many books did Mary buy? * She bought 5 + 2 = <<5+2=7>>7 books. How many books did Mary get from her mother? She was given 1 + 4 = <<1+4=5>>5 books. How many books did Mary get rid of? She got rid of 12 + 3 = <<12+3=15>>15 books. How many books did Mary have at the end of the year? ** Thus, at the end of the year she had 72 + 12 + 7 + 5 - 15 = <<72+12+7+5-15=81>>81 books. #### 81	0
Q: On the night of the dance, 400 students show up to the party. 70% of the students who showed up were invited. If 40% of those invited to the party had their invitation revoked and were not allowed into the party, how many invited students attended the party? A: [Score: 0.0]	On the night of the dance, 400 students show up to the party. 70% of the students who showed up were invited. If 40% of those invited to the party had their invitation revoked and were not allowed into the party, how many invited students attended the party?	How many students showed up to the party? ** On the night of the dance 70/100400 = <<70/100400=280>>280 students who showed up to the party were invited. How many students showed up and had their invitation revoked? ** If 40% of those invited to the party had their invitation revoked, there were 40/100280 = <<40/100280=112>>112 students who showed up and had their invitation revoked. How many invited students attended the party? ** The number of invited students who attended the party is 280-112 = <<280-112=168>>168 #### 168	How many students showed up to the party? ** On the night of the dance 70/100400 = <<70/100400=280>>280 students who showed up to the party were invited. How many students showed up and had their invitation revoked? ** If 40% of those invited to the party had their invitation revoked, there were 40/100280 = <<40/100280=112>>112 students who showed up and had their invitation revoked. How many invited students attended the party? ** The number of invited students who attended the party is 280-112 = <<280-112=168>>168 #### 168	0
Q: Jason's stove catches on fire. Buying a replacement will cost $1200 and fixing the damage to the wall behind it will cost 1/6th as much. How much does he spend in total? A: [Score: 0.5]	Jason's stove catches on fire. Buying a replacement will cost $1200 and fixing the damage to the wall behind it will cost 1/6th as much. How much does he spend in total?	How much does it cost to fix the wall? ** First find the cost of fixing the wall: $1200 * 1/6 = $<<12001/6=200>>200 How much does it cost in total? * Then add the cost of the replacement stove to find the total cost: $200 + $1200 = $<<200+1200=1400>>1400 #### 1400	How much does it cost to fix the wall? ** First find the cost of fixing the wall: $1200 * 1/6 = $<<12001/6=200>>200 How much does it cost in total? * Then add the cost of the replacement stove to find the total cost: $200 + $1200 = $<<200+1200=1400>>1400 #### 1400	0.5
Q: Billy can spit a watermelon seed 30 inches. Madison can spit a watermelon seed 20% farther than Billy. Ryan can spit a watermelon seed 50% shorter than Madison. How far can Ryan spit a watermelon seed? A: [Score: 0.5]	Billy can spit a watermelon seed 30 inches. Madison can spit a watermelon seed 20% farther than Billy. Ryan can spit a watermelon seed 50% shorter than Madison. How far can Ryan spit a watermelon seed?	How far can Madison spit a seed? ** Madison can spit a seed 20% farther than Billy's 30 inches so that's .2030 = <<20.0130=6>>6 inches farther How far can Billy spit a seed? * Billy spits a seed 30 inches and Madison can spit 6 inches farther for a total of 30+6 = <<30+6=36>>36 inches How far can Ryan spit a seed? ** Ryan can spit a seed 50% shorter than Madison's 36 inches for a total of .5036 = <<50.01*36=18>>18 inches #### 18	How far can Madison spit a seed? ** Madison can spit a seed 20% farther than Billy's 30 inches so that's .2030 = <<20.0130=6>>6 inches farther How far can Billy spit a seed? * Billy spits a seed 30 inches and Madison can spit 6 inches farther for a total of 30+6 = <<30+6=36>>36 inches How far can Ryan spit a seed? ** Ryan can spit a seed 50% shorter than Madison's 36 inches for a total of .5036 = <<50.01*36=18>>18 inches #### 18	0.5
Q: Tina made a large pan of brownies and cut it into 24 pieces. She had one with lunch and dinner every day for 5 days. Her husband snagged one per day for 5 days to take to work. They shared 4 with dinner guests. How many brownies were left? A: [Score: 0.5]	Tina made a large pan of brownies and cut it into 24 pieces. She had one with lunch and dinner every day for 5 days. Her husband snagged one per day for 5 days to take to work. They shared 4 with dinner guests. How many brownies were left?	How many brownies did Tina eat? ** Tina ate one twice a day for 5 days so 25 = <<125=10>>10 How many brownies did her husband eat? * Her husband at 1 per day for 5 days so 15 = <<15=5>>5 How many brownies were left? ** She made 24, ate 10, her husband ate 5 and the guests ate 4 so 24-10-5-4 = <<24-10-5-4=5>>5 brownies left #### 5	How many brownies did Tina eat? ** Tina ate one twice a day for 5 days so 25 = <<125=10>>10 How many brownies did her husband eat? * Her husband at 1 per day for 5 days so 15 = <<15=5>>5 How many brownies were left? ** She made 24, ate 10, her husband ate 5 and the guests ate 4 so 24-10-5-4 = <<24-10-5-4=5>>5 brownies left #### 5	0.5
Q: A dental office gives away 2 toothbrushes to every patient who visits. His 8 hour days are packed and each visit takes .5 hours. How many toothbrushes does he give in a 5 day work week? A: [Score: 0.5]	A dental office gives away 2 toothbrushes to every patient who visits. His 8 hour days are packed and each visit takes .5 hours. How many toothbrushes does he give in a 5 day work week?	How many visits does he do in a day? Each day he does 8/.5=<<8/.5=16>>16 visits How many visits does he do in a week? So he does 165=<<165=80>>80 visits a week How many toothbrushes does he give away in a week? ** That means he gives away 802=<<802=160>>160 toothbrushes a week #### 160	How many visits does he do in a day? Each day he does 8/.5=<<8/.5=16>>16 visits How many visits does he do in a week? So he does 165=<<165=80>>80 visits a week How many toothbrushes does he give away in a week? ** That means he gives away 802=<<802=160>>160 toothbrushes a week #### 160	0.5
Q: Fern buys one pair of high heels for $60 and five pairs of ballet slippers for 2/3rds of the price of the high heels. How much does she pay total? A: [Score: 1.0]	Fern buys one pair of high heels for $60 and five pairs of ballet slippers for 2/3rds of the price of the high heels. How much does she pay total?	How much does one pair of ballet slippers cost? ** First find the cost of one pair of ballet slippers: $60 * 2/3 = $<<602/3=40>>40 How much do the ballet slippers cost in total? * Then find the total cost of the ballet slippers: $40/pair * 5 pairs = $<<405=200>>200 How much does Fern pay total? * Then add that amount to the cost of the high heels to find the total cost: $200 + $60 = $<<200+60=260>>260 #### 260	How much does one pair of ballet slippers cost? ** First find the cost of one pair of ballet slippers: $60 * 2/3 = $<<602/3=40>>40 How much do the ballet slippers cost in total? * Then find the total cost of the ballet slippers: $40/pair * 5 pairs = $<<405=200>>200 How much does Fern pay total? * Then add that amount to the cost of the high heels to find the total cost: $200 + $60 = $<<200+60=260>>260 #### 260	1
Q: Jerry needs to shingle 3 roofs. Each roof is made of two slanted rectangular sides measuring 20 feet by 40 feet. If he needs 8 shingles to cover one square foot of roof, how many shingles does he need total? A: [Score: 0.0]	Jerry needs to shingle 3 roofs. Each roof is made of two slanted rectangular sides measuring 20 feet by 40 feet. If he needs 8 shingles to cover one square foot of roof, how many shingles does he need total?	How many square feet are in one side of a roof? ** First find the area of one side of a roof: 20 feet * 40 feet = <<2040=800>>800 square feet How many square feet are in both sides of the roof? * Then multiply that number by 2 to find the total area of both sides of the roof: 800 square feet/side * 2 sides = 1600 square feet How many square feet are in all the roofs? ** Then multiply that number by the number of roofs to find the total area of all the roofs: 1600 square feet/roof * 3 roofs = 4800 square feet How many shingles does Jerry need total? ** Then multiply the total area of the roofs by the number of shingles needed per square foot to find the total number of shingles needed: 4800 square feet * 8 singles/square foot = <<4800*8=38400>>38400 shingles #### 38400	How many square feet are in one side of a roof? ** First find the area of one side of a roof: 20 feet * 40 feet = <<2040=800>>800 square feet How many square feet are in both sides of the roof? * Then multiply that number by 2 to find the total area of both sides of the roof: 800 square feet/side * 2 sides = 1600 square feet How many square feet are in all the roofs? ** Then multiply that number by the number of roofs to find the total area of all the roofs: 1600 square feet/roof * 3 roofs = 4800 square feet How many shingles does Jerry need total? ** Then multiply the total area of the roofs by the number of shingles needed per square foot to find the total number of shingles needed: 4800 square feet * 8 singles/square foot = <<4800*8=38400>>38400 shingles #### 38400	0
Q: Miss Walter has 50 gold stickers. She also has twice as many silver stickers as gold stickers, and 20 fewer bronze stickers than silver stickers. She wants to give the same number of stickers to each of her 5 students. How many stickers will each student receive? A: [Score: 0.5]	Miss Walter has 50 gold stickers. She also has twice as many silver stickers as gold stickers, and 20 fewer bronze stickers than silver stickers. She wants to give the same number of stickers to each of her 5 students. How many stickers will each student receive?	How many silver stickers does Ms. Walter have? ** She has 50 x 2 = <<502=100>>100 silver stickers. How many bronze stickers does Ms. Walter have? * And she also has 100 - 20 = <<100-20=80>>80 bronze stickers. How many stickers does Miss Walter have? So, Miss Walter has a total of 50 + 100 + 80 = <<50+100+80=230>>230 stickers. How many stickers will each student receive? Therefore, her 5 students will have 230 / 5 = <<230/5=46>>46 stickers each. #### 46	How many silver stickers does Ms. Walter have? ** She has 50 x 2 = <<502=100>>100 silver stickers. How many bronze stickers does Ms. Walter have? * And she also has 100 - 20 = <<100-20=80>>80 bronze stickers. How many stickers does Miss Walter have? So, Miss Walter has a total of 50 + 100 + 80 = <<50+100+80=230>>230 stickers. How many stickers will each student receive? Therefore, her 5 students will have 230 / 5 = <<230/5=46>>46 stickers each. #### 46	0.5
Q: Michael loves to paint and sells his creations. He charges $100 for a large painting and $80 for a small painting. At his last art show, he sold 5 large paintings and 8 small paintings. How much did he earn in all? A: [Score: 0.5]	Michael loves to paint and sells his creations. He charges $100 for a large painting and $80 for a small painting. At his last art show, he sold 5 large paintings and 8 small paintings. How much did he earn in all?	How much did Michael earn from the large paintings? ** He earned 5 x $100 = $<<5100=500>>500 for the large painting. How much did Michael earn from the small paintings? * And he earned 8 x $80 = $<<880=640>>640 for the small paintings. How much did Michael earn in all? * Therefore, he earned a total of $500 + $640 = $<<500+640=1140>>1140 in all. #### 1140	How much did Michael earn from the large paintings? ** He earned 5 x $100 = $<<5100=500>>500 for the large painting. How much did Michael earn from the small paintings? * And he earned 8 x $80 = $<<880=640>>640 for the small paintings. How much did Michael earn in all? * Therefore, he earned a total of $500 + $640 = $<<500+640=1140>>1140 in all. #### 1140	0.5
Q: There are 12 crates that each contain 150 oranges. There are 16 boxes that each hold 30 nectarines. How many pieces of fruit are in the crates and the boxes in total? A: [Score: 1.0]	There are 12 crates that each contain 150 oranges. There are 16 boxes that each hold 30 nectarines. How many pieces of fruit are in the crates and the boxes in total?	How many oranges are there? ** Oranges = 12 * 150 = <<12150=1800>>1800 How many nectarines are there? * Nectarines = 16 * 30 = <<1630=480>>480 How many pieces of fruit are there in total? * 1800 + 480 = <<1800+480=2280>>2280 How many pieces of fruit are there in total? ** There are 2280 pieces of fruit in total. #### 2280	How many oranges are there? ** Oranges = 12 * 150 = <<12150=1800>>1800 How many nectarines are there? * Nectarines = 16 * 30 = <<1630=480>>480 How many pieces of fruit are there in total? * 1800 + 480 = <<1800+480=2280>>2280 How many pieces of fruit are there in total? ** There are 2280 pieces of fruit in total. #### 2280	1
Q: Carolyn wants to embroider her new jeans. She can sew 4 stitches/minute. A flower takes 60 stitches to embroider, a unicorn takes 180 stitches, and Godzilla takes 800 stitches. If Carolyn wants to embroider Godzilla crushing 3 unicorns and 50 flowers, how many minutes does she need to spend embroidering? A: [Score: 0.0]	Carolyn wants to embroider her new jeans. She can sew 4 stitches/minute. A flower takes 60 stitches to embroider, a unicorn takes 180 stitches, and Godzilla takes 800 stitches. If Carolyn wants to embroider Godzilla crushing 3 unicorns and 50 flowers, how many minutes does she need to spend embroidering?	How many stitches are in the flowers? ** First find the total stitches in all the flowers by multiplying the number of stitches per flower by the number of flowers: 50 flowers * 60 stitches/flower = <<5060=3000>>3000 stitches How many stitches are in the unicorns? * Then do the same for the total number of stitches in the unicorns: 3 unicorns * 180 stitches/unicorn = <<3180=540>>540 stitches How many stitches are in the total? * Then add the number of stitches for all the flowers, unicorns, and Godzilla to find the total number of stitches: 800 stitches + 540 stitches + 3000 stitches = <<800+540+3000=4340>>4340 stitches How many minutes does Carolyn spend embroidering? ** Finally, divide the total number of stitches by the number of stitches Carolyn can make per hour to find how many hours she spends embroidering: 4340 stitches / 4 stitches/minute = <<4340/4=1085>>1085 minutes #### 1085	How many stitches are in the flowers? ** First find the total stitches in all the flowers by multiplying the number of stitches per flower by the number of flowers: 50 flowers * 60 stitches/flower = <<5060=3000>>3000 stitches How many stitches are in the unicorns? * Then do the same for the total number of stitches in the unicorns: 3 unicorns * 180 stitches/unicorn = <<3180=540>>540 stitches How many stitches are in the total? * Then add the number of stitches for all the flowers, unicorns, and Godzilla to find the total number of stitches: 800 stitches + 540 stitches + 3000 stitches = <<800+540+3000=4340>>4340 stitches How many minutes does Carolyn spend embroidering? ** Finally, divide the total number of stitches by the number of stitches Carolyn can make per hour to find how many hours she spends embroidering: 4340 stitches / 4 stitches/minute = <<4340/4=1085>>1085 minutes #### 1085	0
Q: Sam spends sixty minutes studying Science, eighty minutes in Math, and forty minutes in Literature. How many hours does Sam spend studying the three subjects? A: [Score: 0.5]	Sam spends sixty minutes studying Science, eighty minutes in Math, and forty minutes in Literature. How many hours does Sam spend studying the three subjects?	How many minutes does Sam spend studying the three subjects? The total number of minutes he studies the three subjects is 60 + 80 + 40 = <<60+80+40=180>>180 minutes. How many hours does Sam spend studying the three subjects? Therefore, Sam spends 180/60 = <<180/60=3>>3 hours. #### 3	How many minutes does Sam spend studying the three subjects? The total number of minutes he studies the three subjects is 60 + 80 + 40 = <<60+80+40=180>>180 minutes. How many hours does Sam spend studying the three subjects? Therefore, Sam spends 180/60 = <<180/60=3>>3 hours. #### 3	0.5
Q: In a house, there are 16 cats. Two of them are white, and 25% of them are black. The rest of the cats are grey. How many grey cats are in this house? A: [Score: 0.0]	In a house, there are 16 cats. Two of them are white, and 25% of them are black. The rest of the cats are grey. How many grey cats are in this house?	How many black cats are there? ** In this house, there are 16 * 25/100 = <<1625/100=4>>4 black cats. How many grey cats are there? * If there are two white cats, that means that there are 16 - 4 - 2 = <<16-4-2=10>>10 grey cats in this house. #### 10	How many black cats are there? ** In this house, there are 16 * 25/100 = <<1625/100=4>>4 black cats. How many grey cats are there? * If there are two white cats, that means that there are 16 - 4 - 2 = <<16-4-2=10>>10 grey cats in this house. #### 10	0
Q: Aitana and Jayda went to Silverlake Flea market to buy some handmade crafts. Aitana spent 2/5 times more money than Jayda at the market. If Jayda spent $400, calculate the total amount of money they spent together. A: [Score: 0.0]	Aitana and Jayda went to Silverlake Flea market to buy some handmade crafts. Aitana spent 2/5 times more money than Jayda at the market. If Jayda spent $400, calculate the total amount of money they spent together.	How much more money did Aitana spend than Jayda? ** If Jayda spent $400 at the market, Aitana spent 2/5400 = $160 more on handmade crafts. How much money did Aitana spend at the market? * Since Aitana spent $160 more than Jayda at the market, she spent $400+$160 = $<<160+400=560>>560. How much money did Aitana and Jayda spend together? ** The total amount of money they spent together is $400+$560 = $<<400+560=960>>960 #### 960	How much more money did Aitana spend than Jayda? ** If Jayda spent $400 at the market, Aitana spent 2/5400 = $160 more on handmade crafts. How much money did Aitana spend at the market? * Since Aitana spent $160 more than Jayda at the market, she spent $400+$160 = $<<160+400=560>>560. How much money did Aitana and Jayda spend together? ** The total amount of money they spent together is $400+$560 = $<<400+560=960>>960 #### 960	0
Q: Aubriella is pouring water into a 50-gallon fish tank at the rate of 1 gallon every 20 seconds. How many more gallons will she have to pour into the tank to fill the tank if she poured water into the fish tank for 6 minutes? A: [Score: 0.0]	Aubriella is pouring water into a 50-gallon fish tank at the rate of 1 gallon every 20 seconds. How many more gallons will she have to pour into the tank to fill the tank if she poured water into the fish tank for 6 minutes?	How many seconds did Aubriella pour water into the fish tank? ** When she poured water into the gallon for 6 minutes, the total time in seconds she took is 6 minutes * 60 seconds/minute = <<660=360>>360 seconds. How many gallons of water did Aubriellla pour into the fish tank? * If in 20 seconds she poured 1 gallon of water into the tank, in 360 seconds, she poured 360 seconds / 20 seconds/gallon = <<360/20/1=18>>18 gallons of water into the tank. How many more gallons will Aubriella have to pour into the tank to fill the tank? ** Aubriella will have to pour 50 gallons - 18 gallons = <<50-18=32>>32 more gallons into the tank to fill the tank. #### 32	How many seconds did Aubriella pour water into the fish tank? ** When she poured water into the gallon for 6 minutes, the total time in seconds she took is 6 minutes * 60 seconds/minute = <<660=360>>360 seconds. How many gallons of water did Aubriellla pour into the fish tank? * If in 20 seconds she poured 1 gallon of water into the tank, in 360 seconds, she poured 360 seconds / 20 seconds/gallon = <<360/20/1=18>>18 gallons of water into the tank. How many more gallons will Aubriella have to pour into the tank to fill the tank? ** Aubriella will have to pour 50 gallons - 18 gallons = <<50-18=32>>32 more gallons into the tank to fill the tank. #### 32	0
Q: Bailey bought 8 dog treats and an additional 2 chew toys. She also got 10 more rawhide bones. Sadly, she forgot her money and had to split the charges equally across 4 credit cards. How many items were included in each charge? A: [Score: 1.0]	Bailey bought 8 dog treats and an additional 2 chew toys. She also got 10 more rawhide bones. Sadly, she forgot her money and had to split the charges equally across 4 credit cards. How many items were included in each charge?	How many dog supplies did Bailey get? Bailey got 8+2=<<8+2=10>>10 dog supplies. How many dog supplies did Bailey get? After adding the rawhide bones, she had 10+10=<<10+10=20>>20 dog supplies. How many items were included in each charge? ** She needed to split the charges across 4 cards, so each charge had 20.25 = <<20.25=5>>5 items. #### 5	How many dog supplies did Bailey get? Bailey got 8+2=<<8+2=10>>10 dog supplies. How many dog supplies did Bailey get? After adding the rawhide bones, she had 10+10=<<10+10=20>>20 dog supplies. How many items were included in each charge? ** She needed to split the charges across 4 cards, so each charge had 20.25 = <<20.25=5>>5 items. #### 5	1
Q: Patricia is growing her long very long to donate it to a charity that makes wigs for cancer survivors. Her hair is 14 inches long. She needs to donate 23 inches to make a wig. She wants her hair to be 12 inches long after the donation. How much longer does she have to grow her hair? A: [Score: 0.0]	Patricia is growing her long very long to donate it to a charity that makes wigs for cancer survivors. Her hair is 14 inches long. She needs to donate 23 inches to make a wig. She wants her hair to be 12 inches long after the donation. How much longer does she have to grow her hair?	How long does her hair need to be after the donation? Her hair needs to be 35 inches long when she cuts it because 23 + 12 = <<23+12=35>>35 How many inches does she need to grow her hair? She needs to grow it 21 more inches because 35 - 14 = <<35-14=21>>21 #### 21	How long does her hair need to be after the donation? Her hair needs to be 35 inches long when she cuts it because 23 + 12 = <<23+12=35>>35 How many inches does she need to grow her hair? She needs to grow it 21 more inches because 35 - 14 = <<35-14=21>>21 #### 21	0
Q: In the Golden State Team, each player earned points. Draymond earned 12 points, Curry earned twice the points as Draymond, Kelly earned 9, Durant earned twice the points as Kelly, Klay earned half the points as Draymond. How many points did the Golden States have in total? A: [Score: 0.0]	In the Golden State Team, each player earned points. Draymond earned 12 points, Curry earned twice the points as Draymond, Kelly earned 9, Durant earned twice the points as Kelly, Klay earned half the points as Draymond. How many points did the Golden States have in total?	How many points did Curry earn? ** Curry earned 12 x 2 = <<122=24>>24 points. How many points did Durant earn? * Durant earned 9 x 2 = <<92=18>>18 points. How many points did Klay earn? * Klay earned 12 / 2 = <<12/2=6>>6 points. How many points did the Golden States have in total? ** Therefore, Golden States has a total of 12 + 24 + 9 + 18 + 6 = <<12+24+9+18+6=69>>69 points. #### 69	How many points did Curry earn? ** Curry earned 12 x 2 = <<122=24>>24 points. How many points did Durant earn? * Durant earned 9 x 2 = <<92=18>>18 points. How many points did Klay earn? * Klay earned 12 / 2 = <<12/2=6>>6 points. How many points did the Golden States have in total? ** Therefore, Golden States has a total of 12 + 24 + 9 + 18 + 6 = <<12+24+9+18+6=69>>69 points. #### 69	0
Q: Henrietta is repainting her house. The walls in the living room take up 600 square feet. She has three bedrooms. The walls in each bedroom take up 400 square feet. If one gallon of paint can cover 600 square feet, how many gallons of paint does Henrietta need to paint her house? A: [Score: 0.5]	Henrietta is repainting her house. The walls in the living room take up 600 square feet. She has three bedrooms. The walls in each bedroom take up 400 square feet. If one gallon of paint can cover 600 square feet, how many gallons of paint does Henrietta need to paint her house?	How many square feet are in the three bedrooms? ** The total square footage from the three bedrooms is 3 * 400 = <<3400=1200>>1200 square feet. How many square feet are in the house? * The total square footage of the house is 1200 + 600 = <<1200+600=1800>>1800 square feet How many gallons of paint does Henrietta need to paint her house? ** Henrietta needs 1800 / 600 = <<1800/600=3>>3 gallons of paint #### 3	How many square feet are in the three bedrooms? ** The total square footage from the three bedrooms is 3 * 400 = <<3400=1200>>1200 square feet. How many square feet are in the house? * The total square footage of the house is 1200 + 600 = <<1200+600=1800>>1800 square feet How many gallons of paint does Henrietta need to paint her house? ** Henrietta needs 1800 / 600 = <<1800/600=3>>3 gallons of paint #### 3	0.5
Q: James has 28 marbles. He puts them into 4 bags. He puts the same number in each bag. He then gives one bag away. How many marbles does James have left? A: [Score: 0.5]	James has 28 marbles. He puts them into 4 bags. He puts the same number in each bag. He then gives one bag away. How many marbles does James have left?	How many marbles does James have in each bag? James has 28 marbles / 4 bags = <<28/4=7>>7 marbles per bag. How many marbles does James have left? James has 28 marbles - 7 marbles = <<28-7=21>>21 marbles remaining. #### 21	How many marbles does James have in each bag? James has 28 marbles / 4 bags = <<28/4=7>>7 marbles per bag. How many marbles does James have left? James has 28 marbles - 7 marbles = <<28-7=21>>21 marbles remaining. #### 21	0.5
Q: Jane purchased 15 ice cream cones and 5 cups of pudding. Each ice cream cone cost $5 and each cup of pudding cost $2. How much more did Jane spend on ice cream than on pudding, in dollars? A: [Score: 0.5]	Jane purchased 15 ice cream cones and 5 cups of pudding. Each ice cream cone cost $5 and each cup of pudding cost $2. How much more did Jane spend on ice cream than on pudding, in dollars?	How much did 15 ice cream cones cost? ** The cost of 15 cones of ice cream was 15 × $5 = $<<155=75>>75. How much did 5 cups of pudding cost? * The cost of the 5 cups of pudding was 5 × $2 = $<<52=10>>10. How much more did Jane spend on ice cream than on pudding, in dollars? * Jane spent $75 - $10 = $<<75-10=65>>65 more on ice cream than on pudding. #### 65	How much did 15 ice cream cones cost? ** The cost of 15 cones of ice cream was 15 × $5 = $<<155=75>>75. How much did 5 cups of pudding cost? * The cost of the 5 cups of pudding was 5 × $2 = $<<52=10>>10. How much more did Jane spend on ice cream than on pudding, in dollars? * Jane spent $75 - $10 = $<<75-10=65>>65 more on ice cream than on pudding. #### 65	0.5
Q: How many apples did two men and three women buy at a certain store if the two men each bought 30 apples, 20 less than the number of apples bought by each woman? A: [Score: 0.0]	How many apples did two men and three women buy at a certain store if the two men each bought 30 apples, 20 less than the number of apples bought by each woman?	How many apples did the two men buy together? ** If the two men each bought 30 apples, together they bought 230 = <<230=60>>60 apples. How many apples did each woman buy? Since the two men each bought 30 apples, 20 less than the total number of apples bought by each woman, each woman bought 20+30 = <<20+30=50>>50 apples. How many apples did the three women buy? The total number of apples bought by the women is 350 = <<350=150>>150 How many apples did the two men and three women buy together? ** Altogether, the two men and three women bought 60+150 = <<60+150=210>>210 apples. #### 210	How many apples did the two men buy together? ** If the two men each bought 30 apples, together they bought 230 = <<230=60>>60 apples. How many apples did each woman buy? Since the two men each bought 30 apples, 20 less than the total number of apples bought by each woman, each woman bought 20+30 = <<20+30=50>>50 apples. How many apples did the three women buy? The total number of apples bought by the women is 350 = <<350=150>>150 How many apples did the two men and three women buy together? ** Altogether, the two men and three women bought 60+150 = <<60+150=210>>210 apples. #### 210	0
Q: Jimmy is going to sell pizzas at the carnival to make some money. The carnival only gave him 7 hours to do so. He bought a 22kg sack of flour to make his pizzas and he takes 10 min to make each pizza for the customers. At the end of the 7 hours, he saw some flour was left. Knowing that each pizza needs 0.5kg of flour to make, how many pizzas can he make to bring home with the flour left? A: [Score: 0.0]	Jimmy is going to sell pizzas at the carnival to make some money. The carnival only gave him 7 hours to do so. He bought a 22kg sack of flour to make his pizzas and he takes 10 min to make each pizza for the customers. At the end of the 7 hours, he saw some flour was left. Knowing that each pizza needs 0.5kg of flour to make, how many pizzas can he make to bring home with the flour left?	How many pizzas does Jimmy make in an hour? Each hour Jimmy makes 60min ÷ 10min/pizza = <<60/10=6>>6 Pizzas How many pizzas does Jimmy make in total? The number of total pizzas made equals 7 hours x 6 pizzas/hour = <<76=42>>42 pizzas How much flour does Jimmy use? * The amount of total flour used equals 42 pizzas x 0.5 kg/pizza = <<420.5=21>>21 kg How much flour is left? * The amount of flour left equals 22 kg - 21 kg = <<22-21=1>>1 kg How many pizzas can Jimmy make? ** The number of pizzas Jimmy can make is 1kg ÷ 0.5kg/pizza = <<1/0.5=2>>2 pizzas #### 2	How many pizzas does Jimmy make in an hour? Each hour Jimmy makes 60min ÷ 10min/pizza = <<60/10=6>>6 Pizzas How many pizzas does Jimmy make in total? The number of total pizzas made equals 7 hours x 6 pizzas/hour = <<76=42>>42 pizzas How much flour does Jimmy use? * The amount of total flour used equals 42 pizzas x 0.5 kg/pizza = <<420.5=21>>21 kg How much flour is left? * The amount of flour left equals 22 kg - 21 kg = <<22-21=1>>1 kg How many pizzas can Jimmy make? ** The number of pizzas Jimmy can make is 1kg ÷ 0.5kg/pizza = <<1/0.5=2>>2 pizzas #### 2	0
Q: Hasan is packing up his apartment because he’s moving across the country for a new job. He needs to ship several boxes to his new home. The movers have asked that Hasan avoid putting more than a certain weight in pounds in any cardboard box. The moving company has helpfully provided Hasan with a digital scale that will alert him if a package is too heavy. Hasan is in the kitchen, and he fills a cardboard box with 38 dinner plates. When he checks the box, the scale reports his box is too heavy. Hasan knows each of his plates weighs 10 ounces. He removes a single plate from the box and checks the movers’ scale again. The scale reports his box is still too heavy. Hasan repeats the process again and again. When he has removed enough plates, the movers’ scale shows the box is now an acceptable weight for shipping. Hasan deduces that each shipping box can hold 20 pounds before the scale says the box is too heavy. How many plates did Hasan need to remove from the shipping box? A: [Score: 0.5]	Hasan is packing up his apartment because he’s moving across the country for a new job. He needs to ship several boxes to his new home. The movers have asked that Hasan avoid putting more than a certain weight in pounds in any cardboard box. The moving company has helpfully provided Hasan with a digital scale that will alert him if a package is too heavy. Hasan is in the kitchen, and he fills a cardboard box with 38 dinner plates. When he checks the box, the scale reports his box is too heavy. Hasan knows each of his plates weighs 10 ounces. He removes a single plate from the box and checks the movers’ scale again. The scale reports his box is still too heavy. Hasan repeats the process again and again. When he has removed enough plates, the movers’ scale shows the box is now an acceptable weight for shipping. Hasan deduces that each shipping box can hold 20 pounds before the scale says the box is too heavy. How many plates did Hasan need to remove from the shipping box?	Define a variable Let x be the number of plates removed from the box. How many ounces can each box hold? Hasan figured out the movers' weight limit was 20 pounds. Since a pound is equal to 16 ounces, each box can hold 20 * 16, or <<2016=320>>320 ounces. How many ounces are in the box after Hasan removes enough plates? * Each plate weighs 10 ounces, so the weight of the plates in the box after Hasan removes enough plates to satisfy the movers' weight limit is (38 - x) * 10 ounces Write an equation ** Since these two values are equal, we can write the equation (38 - x) * 10 = 320. Simplify Dividing both sides by 10 leaves 38-x = 32. Simplify Adding x to both sides gives 38 – x + x = 32 +x, or, 38 = 32 +x Simplify ** Subtracting 32 from both sides gives the value of x, which is the number of plates removed from the box, 38 -32 = 32 + x – 32, or, 6 = x #### 6	Define a variable Let x be the number of plates removed from the box. How many ounces can each box hold? Hasan figured out the movers' weight limit was 20 pounds. Since a pound is equal to 16 ounces, each box can hold 20 * 16, or <<2016=320>>320 ounces. How many ounces are in the box after Hasan removes enough plates? * Each plate weighs 10 ounces, so the weight of the plates in the box after Hasan removes enough plates to satisfy the movers' weight limit is (38 - x) * 10 ounces Write an equation ** Since these two values are equal, we can write the equation (38 - x) * 10 = 320. Simplify Dividing both sides by 10 leaves 38-x = 32. Simplify Adding x to both sides gives 38 – x + x = 32 +x, or, 38 = 32 +x Simplify ** Subtracting 32 from both sides gives the value of x, which is the number of plates removed from the box, 38 -32 = 32 + x – 32, or, 6 = x #### 6	0.5
Q: Working together, four pugs can clean their house in 45 minutes. In how many minutes will 15 pugs working together be able to clean their house? A: [Score: 0.0]	Working together, four pugs can clean their house in 45 minutes. In how many minutes will 15 pugs working together be able to clean their house?	How many minutes will one pug take? ** If four pugs can clean their house in 45 minutes, one pug will take 445 = <<445=180>>180 minutes. How many minutes will fifteen pugs working together be able\|endoftext\|>\|endoftext\|>\|endoftext\|>\|endoftext\|>\|endoftext\|>\|endoftext\|>\|endof ** Since one pug working alone takes 180 minutes to clean the house, fifteen pugs working together will be able to clean their house in 180/15 = <<180/15=12>>12 minutes #### 12	How many minutes will one pug take? ** If four pugs can clean their house in 45 minutes, one pug will take 445 = <<445=180>>180 minutes. How many minutes will fifteen pugs working together be able\|endoftext\|>\|endoftext\|>\|endoftext\|>\|endoftext\|>\|endoftext\|>\|endoftext\|>\|endof ** Since one pug working alone takes 180 minutes to clean the house, fifteen pugs working together will be able to clean their house in 180/15 = <<180/15=12>>12 minutes #### 12	0
Q: Cindy was 5 years old. Her sister Jan was 2 years older than Cindy. Their oldest sister Marcia was twice as old as Jan. Greg was two years older than Marcia. How old was Greg? A: [Score: 0.5]	Cindy was 5 years old. Her sister Jan was 2 years older than Cindy. Their oldest sister Marcia was twice as old as Jan. Greg was two years older than Marcia. How old was Greg?	How old was Jan? Jan was 2 years older than Cindy who was 5 so 2+5 = <<2+5=7>>7 years old How old was Marcia? Marica was twice as old as Jan so 27 = <<27=14>>14 years old How old was Greg? ** Greg was 2 years older than Marcia who was 14 so 2+14 = <<2+14=16>>16 years old #### 16	How old was Jan? Jan was 2 years older than Cindy who was 5 so 2+5 = <<2+5=7>>7 years old How old was Marcia? Marica was twice as old as Jan so 27 = <<27=14>>14 years old How old was Greg? ** Greg was 2 years older than Marcia who was 14 so 2+14 = <<2+14=16>>16 years old #### 16	0.5