Q: Mrs. Smith wanted to buy wears worth $500. She went to a boutique with the $500 but by the time she had picked out everything she liked, she realized that she would need two-fifths more money than she had. If the shop owner gave her a discount of 15%, how much more money will she still need?
A: Two fifths of $500 is (2 / 5) * $500 = $200. She needed $200 more than $500 which is $200 + $500 = $700. 15% of $700 is (15 / 100) * $700 = $105. She was given a $105 discount so she has to pay $700 - $105 = $595. She would still need $595 - $500 = $95. The answer is 95.
Question: Every week of last month Paul tried out a new cake recipe. The first week, he followed a cake recipe that called for 24 cups of sugar. Each week after that, he reduced the amount of sugar by half. How much sugar did he use for the cake on the fourth week?
Answer: On the 2nd week, Paul halved the first week's sugar, therefore he used 24 / 2 = 12 cups. The third week, Paul used 12 / 2 = 6 cups. The fourth week, he used 6 / 2 = 3 cups. The answer is 3.
[Question]Jennifer is building tanks to hold her goldfish. She built 3 tanks that will hold 15 fish each, heated, and filled them. She plans to build the rest of the tanks equipped with heaters, and they will hold 10 fish each. If she needs to build enough tanks to house a total of 75 fish, how many more will she need to build?
[Answer]With the tanks already built it has room for 3 tanks * 15 fish / tank = 45 fish. The total of fish that still lack space is 75 fish - 45 fish = 30 fish. This means Jennifer needs 30 fish / 10 fish / tank = 3 tanks of 10 fish. The answer is 3.
Q: Mr. McNeely takes a register of the total number of students present in class every day. On a particular week, the number of students in the class on the second day was 40 more than the first day. The number of students who didn't turn up for the class on the second day was twice the number of students who didn't turn up on the third day. On the third day, 1/7 of the total number of students of the class called in sick. If the total number of students in the class is 280, calculate the number of absent students in the three days.
A: On the third day, 1 / 7 * 280 = 40 students called in sick. If the number of students absent on the second day was twice the number on the third day, then 2 * 40 = 80 students didn't show up for the class on the second day. The total number of students present in the class on the second day was 280 - 80 = 200. If 40 fewer students showed up for the class on the first day than on the second day, then 200 - 40 = 160 students showed up for the class on the first day. The number of students absent on the first day is 280 - 160 = 120. In the three days, the total number of absentees is 120 + 80 + 40 = 240. The answer is 240.
Question: A couple with two children, ages 6 and 10 years old, decided to go to an amusement park. The regular ticket costs $109, but children below 12 years old have a $5 discount. If they gave the cashier $500, how much change will they receive?
Answer: The ticket costs 109 - 5 = $104 for each child. So the ticket cost of the two children is 104 x 2 = $208. The couple needs to pay the regular price, so it's 109 x 2 = $218. Thus, the family needs to pay a total of 208 + 218 = $426. Therefore, their change is 500 - 426 = $74. The answer is 74.
Q: At the new store, there are 3 times as many grape candies as cherry candies, and 2 times as many apple candies as grape candies. All the candies cost $2.50 each. If the total cost of the candies is $200, how many grape candies does the store have?
A:
Total number of candies is 200 / 2.5 = 80 candies. Let x be the number of cherry candies. There are 3 * x grape candies. There are 2 * 3 * x = 6 * x apple candies. x + 3 * x + 6 * x = 80. 10 * x = 80. x = 8. There are 8 * 3 = 24 grape candies. The answer is 24.