[Question]Mel is three years younger than Katherine. When Katherine is two dozen years old, how old will Mel be in years?
[Answer]When Katherine is 2 dozen years old, she will be 2 * 12 = 24 years old. If Mel is three years younger than Katherine, then when Katherine is 24 years old, Mel will be 24 - 3 = 21 years old. The answer is 21.
Q: Jen has 10 more ducks than four times the number of chickens. If Jen has 150 ducks, how many total birds does she have?
A: Let the number of chickens be c. If there are 150 ducks, we can describe the number of chickens as 150 = 10 + 4c. So, 4c = 150. And, there are c = 35 chickens. In total, Jen has 35 chickens + 150 ducks = 185 birds. The answer is 185.
Question: 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?
Answer: 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]Three adults whose average weight is 140 pounds went first in the elevator. Two children whose average weight is 64 pounds also went inside. If an elevator sign reads "Maximum weight 600 pounds.", what is the maximum weight of the next person to get in the elevator so that it will not be overloaded?
[Answer]The sum of the weights of the three adults is 140 x 3 = 420 pounds. The sum of the weight of the two children is 64 x 2 = 128 pounds. So the total weight of the 5 people who are in the elevator is 420 + 128 = 548 pounds. This would mean that the next person's weight must not exceed 600 - 548 = 52 pounds. The answer is 52.
Q: Cary is 72 inches tall. Her younger brother Bill is half her height, and her younger sister Jan is 6 inches taller than Bill. How tall is Jan?
A: First find Bill's height by dividing Cary's height by 2: 72 inches / 2 = 36 inches. Then add six inches to find Jan's height: 36 inches + 6 inches = 42 inches. The answer is 42.
Question: Archie is playing with his marbles outside. He loses 60% of them into the street. Of the remaining ones, he loses half down a sewer. If he has 20 left, how many did he start with?
Answer:
He had 40 before losing them into the sewer because 20 x 2 = 40. He started with 100 because 40 / .4 = 100. The answer is 100.