Question: Yvonne brings a box of chocolates to school. Half have nuts and half do not. The students eat 80% of the ones with nuts and eat half of the ones without nuts. If there are 28 chocolates left, how many chocolates were in the box?
Answer: The ones with nuts that they ate was 40% of the box because 80% x .5 = 40%. The ones without nuts that they ate equaled 25% of the box because 50% x .5 = 25%. They ate 65% of the box because 40 + 25 = 65. They left 35% of the box because 100 - 65 = 35. The box had 80 chocolates because 28 / .35 = 80. The answer is 80.
[Question]Edmund is buying a new computer and needs to save up $75 before he has enough. He convinces his parents to pay him for extra chores. He normally has to do 12 chores a week. His parents agree to pay him $2 for every extra chore he does during the week. If he does 4 chores a day for two weeks, how much does he earn?
[Answer]In two weeks, he has to do 24 chores because 2 x 12 = 24. He now does 28 chores a week because 7 x 4 = 28. He does 56 chores in two weeks because 2 x 28 = 56. He has done 32 extra chores because 56 - 24 = 32. He earns $64 because 2 x 32 = 64. The answer is 64.
Q: Carrie and her mom go to the mall to buy new clothes for school. Carrie buys 4 shirts, 2 pairs of pants, and 2 jackets. Each shirt costs $8. Each pair of pants costs $18. Each jacket costs $60. If Carrie's mom pays for half of the total cost of all the clothes, how much does Carrie pay for the clothes?
A: The total cost of shirts is 4 * $8 = $32. The total cost of pants is 2 * $18 = $36. The total cost of the jackets is 2 * $60 = $120. The total cost of the clothes is $32 + $36 + $120 = $188. Since Carrie's mom pays for half of the total cost, Carrie pays $188 / 2 = $94. The answer is 94.
Question: Viggo spent $80 on a shirt. He paid the shirt using $20 and $10 bills. If she gave the clerk one more $20 bill than $10 bills, how many $10 bills did he give?
Answer: Let x be the number of $10 bills. So, there are (x + 1) $20 bills. Adding the $10 and $20 bills should sum up to $80 so the equation is 10x + 20(x + 1) = 80. Then, distribute 20 to x + 1 so it becomes 10x + 20x + 20 = 80. Combining the like terms on the left side gives 30x + 20 = 80. Then transfer 20 to the right side of the equation, so it becomes 30x = 60. To solve for x, we have 60 / 30 = 2. Therefore, there are 2 $10 bills. The answer is 2.
[Question]Hannah is at a restaurant. She spends $23 in total on an entree and a dessert. If the entree costs $5 more than the dessert, how much does the entree cost, in dollars?
[Answer]Let D be the cost of the dessert in dollars. The entree costs D + 5 dollars. D + (D + 5) = 23. 2D + 5 = 23. 2D = 18. D = 9. The entree costs $14. The answer is 14.
[Question]James decides to replace his car. He sold his $20,000 car for 80% of its value and then was able to haggle to buy a $30,000 sticker price car for 90% of its value. How much was he out of pocket?
[Answer]
He sold his car for 20000 * .8 = $16,000. He bought the new car for 30,000 * .9 = $27,000. That means he was out of pocket 27,000 - 16,000 = $11,000. The answer is 11000.