Q: Laura wants to bake a cake for her mother. She checks the recipe and the pantry and sees that she needs to buy 2 cups of flour, 2 cups of sugar, a cup of butter, and two eggs. The flour costs $4. The sugar costs $2. The eggs cost $.5, and the butter costs $2.5. When she is done baking it, she cuts the cake into 6 slices. Her mother enjoys a piece the first two days. But on the third day, they discover that Kevin, her dog, ate the rest of the cake. How much did the amount the dog ate cost?
A: The cake cost $9 in total because 4 + 2 + .5 + 2.5 = 9. Each slice costs $1.5 because 9 / 6 = 1.5. The dog ate 4 slices because 6 - 2 = 4. The amount the dog ate cost $6 because 4 x 1.5 = 6. The answer is 6.
Question: Paul, a biology teacher, assigns 265 points in the first quarter. There are 4 times as many test points as quiz points, and 5 more quiz points than homework points. How many homework points are there in the first quarter?
Answer: Let x represent the number of homework points. Quiz:x + 5. Test:4(x + 5) = 4x + 20. Total:x + x + 5 + 4x + 20 = 265. 6x + 25 = 265. 6x = 240. x = 40 points. The answer is 40.
[Question]There are 19 marbles in a bowl, 5 of which are yellow. The remainder are split into blue marbles and red marbles in the ratio 3:4 respectively. How many more red marbles than yellow marbles are there?
[Answer]5 out of 19 marbles are yellow so the remainder which is 19 - 5 = 14 marbles are blue and red. 14 marbles are split into blue and red in the ratio 3:4 so each "share" is 14 / (3 + 4) = 2 marbles. There are 4 "shares" of red marbles which totals to 4 * 2 = 8 red marbles. There are 8 - 5 = 3 more red marbles than yellow marbles. The answer is 3.
Q: Loisa wants to buy a tablet that costs $450 cash. Since she does not have enough money, the store offered her an installment plan for 12 months. She will pay $100 as a down payment and pay $40 for the first 4 months; then $35 for the next four months; then $30 for the last four months. How much will Loisa save if she will buy the tablet in cash instead of on installment?
A: Loisa will pay a total of $40 x 4 = $160 for the first 4 months. She will pay a total of $35 x 4 = $140 for the next four months. And she will pay a total of $30 x 4 = $120 for the last four months. Thus, she will pay a total of $100 + $160 + $140 + $120 = $520 for 12 months including the down payment. Therefore, Loisa can save $520 - $450 = $70 if she buys the tablet in cash. The answer is 70.
Question: Christine makes money by commission rate. She gets a 12% commission on all items she sells. This month, she sold $24000 worth of items. Sixty percent of all her earning will be allocated to her personal needs and the rest will be saved. How much did she save this month?
Answer: This month, Christine earned a commission of 12 / 100 x $24000 = $2880. She allocated 60 / 100 x $2880 = $1728 on her personal needs. Therefore, she saved $2880 - $1728 = $1152 this month. The answer is 1152.
Q: Tom's puts 30 miles per day on his bike for the first 183 days of the year. For the rest of the days of the year he goes 35 miles per day. How many miles does he drive for the year?
A:
For the first 183 days he drives 183 * 30 = 5490 miles. There are 365 - 183 = 182 days left in the year. He drives 35 * 182 = 6370 for those days. So in total he drives 5490 + 6370 = 11,860. The answer is 11860.
Q: Laura wants to bake a cake for her mother. She checks the recipe and the pantry and sees that she needs to buy 2 cups of flour, 2 cups of sugar, a cup of butter, and two eggs. The flour costs $4. The sugar costs $2. The eggs cost $.5, and the butter costs $2.5. When she is done baking it, she cuts the cake into 6 slices. Her mother enjoys a piece the first two days. But on the third day, they discover that Kevin, her dog, ate the rest of the cake. How much did the amount the dog ate cost?
A: The cake cost $9 in total because 4 + 2 + .5 + 2.5 = 9. Each slice costs $1.5 because 9 / 6 = 1.5. The dog ate 4 slices because 6 - 2 = 4. The amount the dog ate cost $6 because 4 x 1.5 = 6. The answer is 6.
Question: Paul, a biology teacher, assigns 265 points in the first quarter. There are 4 times as many test points as quiz points, and 5 more quiz points than homework points. How many homework points are there in the first quarter?
Answer: Let x represent the number of homework points. Quiz:x + 5. Test:4(x + 5) = 4x + 20. Total:x + x + 5 + 4x + 20 = 265. 6x + 25 = 265. 6x = 240. x = 40 points. The answer is 40.
[Question]There are 19 marbles in a bowl, 5 of which are yellow. The remainder are split into blue marbles and red marbles in the ratio 3:4 respectively. How many more red marbles than yellow marbles are there?
[Answer]5 out of 19 marbles are yellow so the remainder which is 19 - 5 = 14 marbles are blue and red. 14 marbles are split into blue and red in the ratio 3:4 so each "share" is 14 / (3 + 4) = 2 marbles. There are 4 "shares" of red marbles which totals to 4 * 2 = 8 red marbles. There are 8 - 5 = 3 more red marbles than yellow marbles. The answer is 3.
Q: Loisa wants to buy a tablet that costs $450 cash. Since she does not have enough money, the store offered her an installment plan for 12 months. She will pay $100 as a down payment and pay $40 for the first 4 months; then $35 for the next four months; then $30 for the last four months. How much will Loisa save if she will buy the tablet in cash instead of on installment?
A: Loisa will pay a total of $40 x 4 = $160 for the first 4 months. She will pay a total of $35 x 4 = $140 for the next four months. And she will pay a total of $30 x 4 = $120 for the last four months. Thus, she will pay a total of $100 + $160 + $140 + $120 = $520 for 12 months including the down payment. Therefore, Loisa can save $520 - $450 = $70 if she buys the tablet in cash. The answer is 70.
Question: Christine makes money by commission rate. She gets a 12% commission on all items she sells. This month, she sold $24000 worth of items. Sixty percent of all her earning will be allocated to her personal needs and the rest will be saved. How much did she save this month?
Answer: This month, Christine earned a commission of 12 / 100 x $24000 = $2880. She allocated 60 / 100 x $2880 = $1728 on her personal needs. Therefore, she saved $2880 - $1728 = $1152 this month. The answer is 1152.
Q: Tom's puts 30 miles per day on his bike for the first 183 days of the year. For the rest of the days of the year he goes 35 miles per day. How many miles does he drive for the year?
A:
user
For the first 183 days he drives 183 * 30 = 5490 miles. There are 365 - 183 = 182 days left in the year. He drives 35 * 182 = 6370 for those days. So in total he drives 5490 + 6370 = 11,860. The answer is 11860.
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Q: Laura wants to bake a cake for her mother. She checks the recipe and the pantry and sees that she needs to buy 2 cups of flour, 2 cups of sugar, a cup of butter, and two eggs. The flour costs $4. The sugar costs $2. The eggs cost $.5, and the butter costs $2.5. When she is done baking it, she cuts the cake into 6 slices. Her mother enjoys a piece the first two days. But on the third day, they discover that Kevin, her dog, ate the rest of the cake. How much did the amount the dog ate cost?
A: The cake cost $9 in total because 4 + 2 + .5 + 2.5 = 9. Each slice costs $1.5 because 9 / 6 = 1.5. The dog ate 4 slices because 6 - 2 = 4. The amount the dog ate cost $6 because 4 x 1.5 = 6. The answer is 6.
Question: Paul, a biology teacher, assigns 265 points in the first quarter. There are 4 times as many test points as quiz points, and 5 more quiz points than homework points. How many homework points are there in the first quarter?
Answer: Let x represent the number of homework points. Quiz:x + 5. Test:4(x + 5) = 4x + 20. Total:x + x + 5 + 4x + 20 = 265. 6x + 25 = 265. 6x = 240. x = 40 points. The answer is 40.
[Question]There are 19 marbles in a bowl, 5 of which are yellow. The remainder are split into blue marbles and red marbles in the ratio 3:4 respectively. How many more red marbles than yellow marbles are there?
[Answer]5 out of 19 marbles are yellow so the remainder which is 19 - 5 = 14 marbles are blue and red. 14 marbles are split into blue and red in the ratio 3:4 so each "share" is 14 / (3 + 4) = 2 marbles. There are 4 "shares" of red marbles which totals to 4 * 2 = 8 red marbles. There are 8 - 5 = 3 more red marbles than yellow marbles. The answer is 3.
Q: Loisa wants to buy a tablet that costs $450 cash. Since she does not have enough money, the store offered her an installment plan for 12 months. She will pay $100 as a down payment and pay $40 for the first 4 months; then $35 for the next four months; then $30 for the last four months. How much will Loisa save if she will buy the tablet in cash instead of on installment?
A: Loisa will pay a total of $40 x 4 = $160 for the first 4 months. She will pay a total of $35 x 4 = $140 for the next four months. And she will pay a total of $30 x 4 = $120 for the last four months. Thus, she will pay a total of $100 + $160 + $140 + $120 = $520 for 12 months including the down payment. Therefore, Loisa can save $520 - $450 = $70 if she buys the tablet in cash. The answer is 70.
Question: Christine makes money by commission rate. She gets a 12% commission on all items she sells. This month, she sold $24000 worth of items. Sixty percent of all her earning will be allocated to her personal needs and the rest will be saved. How much did she save this month?
Answer: This month, Christine earned a commission of 12 / 100 x $24000 = $2880. She allocated 60 / 100 x $2880 = $1728 on her personal needs. Therefore, she saved $2880 - $1728 = $1152 this month. The answer is 1152.
Q: Tom's puts 30 miles per day on his bike for the first 183 days of the year. For the rest of the days of the year he goes 35 miles per day. How many miles does he drive for the year?
A:
For the first 183 days he drives 183 * 30 = 5490 miles. There are 365 - 183 = 182 days left in the year. He drives 35 * 182 = 6370 for those days. So in total he drives 5490 + 6370 = 11,860. The answer is 11860.