Question: Karen's students are about to take a standardized test. Karen gets a $500 bonus if their average score is above 75, plus an extra $10 bonus for every additional point the average score increases above 75. So far, Karen has graded 8 tests, and the average is 70. Given that each student can have a maximum score of 150, what combined score do the last two tests need to have for Karen to earn a $600 bonus?
Answer: First subtract $500 from Karen's goal bonus amount to find how much she makes from the extra $10 / point bonus: $600 - $500 = $100. Then divide the extra bonus by the extra rate: $100 / $10 / point = 10 points. Then add the 10 extra points to the baseline 75 point goal to find the students' average test score: 10 points + 75 points = 85 points. Then added the 8 graded tests to the 2 ungraded tests to find the total number of tests: 2 tests + 8 tests = 10 tests. Then multiply the 85 point average by the number of tests to find the total number of points the students need to earn: 85 points / test * 10 tests = 850 points. Then multiply the current average by the current number of graded tests to find how many points have been earned so far: 70 points / test * 8 tests = 560 points. Then subtract the number of points earned from the number of points needed to find the combine score the last two tests need: 850 points - 560 points = 290 points. The answer is 290.
[Question]Elon has 10 more teslas than Sam who has half the number of teslas as Chris. Chris has 6 teslas. How many teslas does Elon have?
[Answer]Sam has half the number of Chris: 6 / 2 = 3 teslas. Elon has 10 more than Sam: 10 + 3 = 13 teslas. The answer is 13.
Q: Mitch is baking a cake and needs 3 cups of flour and two cups of sugar. He doesn't have a one cup scoop, only a 1/3 cup scoop. How many total scoops will he need?
A: He needs 9 scoops of flour because 3 / (1 / 3) = 9. He needs 6 scoops of sugar because 2 / (1 / 3) = 6. He needs 15 total scoops because 9 + 6 = 15. The answer is 15.
Question: Molly got a bike for her thirteenth birthday. She rode her bike 3 miles a day, every day, until she turned 16. How many miles did Molly ride on her bike?
Answer: Molly rode for 16 – 13 = 3 years. She rode for 3 years x 365 days = 1,095 days. She rode a total of 3 miles x 1,095 days = 3,285 miles. The answer is 3285.
[Question]Darrel has 76 quarters, 85 dimes, 20 nickels and 150 pennies. If he drops all of his money into a coin-counting machine, they will convert his change into dollars for a 10% fee. How much will he receive after the 10% fee?
[Answer]He has 76 quarters so that’s 76 * .25 = $19.00. He has 85 dimes so that’s 85 * .10 = $8.50. He has 20 nickels so that’s 20 * .05 = $1.00. He has 150 pennies so that’s 150 * .01 = $1.50. All total he has 19 + 8.5 + 1 + 1.5 = $30.00. They charge a 10% fee to count and convert his change into dollars so they will charge him .10 * 30 = $3.00. He had $30.00 and they charged him $3.00 in fees so he now has 30 - 3 = $27.00. The answer is 27.
[Question]Aubrey has a deck of cards with 52 cards in it. She then adds two additional cards to the deck. If she splits the deck evenly among herself and two other players, how many cards does each player have?
[Answer]
The deck has 54 cards because 52 + 2 = 54. There are three players because 1 + 2 = 3. Each player gets 18 cards because 54 / 3 = 18. The answer is 18.
Question: Karen's students are about to take a standardized test. Karen gets a $500 bonus if their average score is above 75, plus an extra $10 bonus for every additional point the average score increases above 75. So far, Karen has graded 8 tests, and the average is 70. Given that each student can have a maximum score of 150, what combined score do the last two tests need to have for Karen to earn a $600 bonus?
Answer: First subtract $500 from Karen's goal bonus amount to find how much she makes from the extra $10 / point bonus: $600 - $500 = $100. Then divide the extra bonus by the extra rate: $100 / $10 / point = 10 points. Then add the 10 extra points to the baseline 75 point goal to find the students' average test score: 10 points + 75 points = 85 points. Then added the 8 graded tests to the 2 ungraded tests to find the total number of tests: 2 tests + 8 tests = 10 tests. Then multiply the 85 point average by the number of tests to find the total number of points the students need to earn: 85 points / test * 10 tests = 850 points. Then multiply the current average by the current number of graded tests to find how many points have been earned so far: 70 points / test * 8 tests = 560 points. Then subtract the number of points earned from the number of points needed to find the combine score the last two tests need: 850 points - 560 points = 290 points. The answer is 290.
[Question]Elon has 10 more teslas than Sam who has half the number of teslas as Chris. Chris has 6 teslas. How many teslas does Elon have?
[Answer]Sam has half the number of Chris: 6 / 2 = 3 teslas. Elon has 10 more than Sam: 10 + 3 = 13 teslas. The answer is 13.
Q: Mitch is baking a cake and needs 3 cups of flour and two cups of sugar. He doesn't have a one cup scoop, only a 1/3 cup scoop. How many total scoops will he need?
A: He needs 9 scoops of flour because 3 / (1 / 3) = 9. He needs 6 scoops of sugar because 2 / (1 / 3) = 6. He needs 15 total scoops because 9 + 6 = 15. The answer is 15.
Question: Molly got a bike for her thirteenth birthday. She rode her bike 3 miles a day, every day, until she turned 16. How many miles did Molly ride on her bike?
Answer: Molly rode for 16 – 13 = 3 years. She rode for 3 years x 365 days = 1,095 days. She rode a total of 3 miles x 1,095 days = 3,285 miles. The answer is 3285.
[Question]Darrel has 76 quarters, 85 dimes, 20 nickels and 150 pennies. If he drops all of his money into a coin-counting machine, they will convert his change into dollars for a 10% fee. How much will he receive after the 10% fee?
[Answer]He has 76 quarters so that’s 76 * .25 = $19.00. He has 85 dimes so that’s 85 * .10 = $8.50. He has 20 nickels so that’s 20 * .05 = $1.00. He has 150 pennies so that’s 150 * .01 = $1.50. All total he has 19 + 8.5 + 1 + 1.5 = $30.00. They charge a 10% fee to count and convert his change into dollars so they will charge him .10 * 30 = $3.00. He had $30.00 and they charged him $3.00 in fees so he now has 30 - 3 = $27.00. The answer is 27.
[Question]Aubrey has a deck of cards with 52 cards in it. She then adds two additional cards to the deck. If she splits the deck evenly among herself and two other players, how many cards does each player have?
[Answer]
user
The deck has 54 cards because 52 + 2 = 54. There are three players because 1 + 2 = 3. Each player gets 18 cards because 54 / 3 = 18. The answer is 18.
assistant
Question: Karen's students are about to take a standardized test. Karen gets a $500 bonus if their average score is above 75, plus an extra $10 bonus for every additional point the average score increases above 75. So far, Karen has graded 8 tests, and the average is 70. Given that each student can have a maximum score of 150, what combined score do the last two tests need to have for Karen to earn a $600 bonus?
Answer: First subtract $500 from Karen's goal bonus amount to find how much she makes from the extra $10 / point bonus: $600 - $500 = $100. Then divide the extra bonus by the extra rate: $100 / $10 / point = 10 points. Then add the 10 extra points to the baseline 75 point goal to find the students' average test score: 10 points + 75 points = 85 points. Then added the 8 graded tests to the 2 ungraded tests to find the total number of tests: 2 tests + 8 tests = 10 tests. Then multiply the 85 point average by the number of tests to find the total number of points the students need to earn: 85 points / test * 10 tests = 850 points. Then multiply the current average by the current number of graded tests to find how many points have been earned so far: 70 points / test * 8 tests = 560 points. Then subtract the number of points earned from the number of points needed to find the combine score the last two tests need: 850 points - 560 points = 290 points. The answer is 290.
[Question]Elon has 10 more teslas than Sam who has half the number of teslas as Chris. Chris has 6 teslas. How many teslas does Elon have?
[Answer]Sam has half the number of Chris: 6 / 2 = 3 teslas. Elon has 10 more than Sam: 10 + 3 = 13 teslas. The answer is 13.
Q: Mitch is baking a cake and needs 3 cups of flour and two cups of sugar. He doesn't have a one cup scoop, only a 1/3 cup scoop. How many total scoops will he need?
A: He needs 9 scoops of flour because 3 / (1 / 3) = 9. He needs 6 scoops of sugar because 2 / (1 / 3) = 6. He needs 15 total scoops because 9 + 6 = 15. The answer is 15.
Question: Molly got a bike for her thirteenth birthday. She rode her bike 3 miles a day, every day, until she turned 16. How many miles did Molly ride on her bike?
Answer: Molly rode for 16 – 13 = 3 years. She rode for 3 years x 365 days = 1,095 days. She rode a total of 3 miles x 1,095 days = 3,285 miles. The answer is 3285.
[Question]Darrel has 76 quarters, 85 dimes, 20 nickels and 150 pennies. If he drops all of his money into a coin-counting machine, they will convert his change into dollars for a 10% fee. How much will he receive after the 10% fee?
[Answer]He has 76 quarters so that’s 76 * .25 = $19.00. He has 85 dimes so that’s 85 * .10 = $8.50. He has 20 nickels so that’s 20 * .05 = $1.00. He has 150 pennies so that’s 150 * .01 = $1.50. All total he has 19 + 8.5 + 1 + 1.5 = $30.00. They charge a 10% fee to count and convert his change into dollars so they will charge him .10 * 30 = $3.00. He had $30.00 and they charged him $3.00 in fees so he now has 30 - 3 = $27.00. The answer is 27.
[Question]Aubrey has a deck of cards with 52 cards in it. She then adds two additional cards to the deck. If she splits the deck evenly among herself and two other players, how many cards does each player have?
[Answer]
The deck has 54 cards because 52 + 2 = 54. There are three players because 1 + 2 = 3. Each player gets 18 cards because 54 / 3 = 18. The answer is 18.