Question: Tricia is a third of Amilia's age and Amilia is a quarter of Yorick's age. Yorick is twice Eugene's age and Khloe is a third of Eugene's age. Rupert is 10 years older than Khloe but 2 years younger than Vincent who is 22 years old. How old, in years, is Tricia?
Answer: Rupert is younger than Vincent by 2 years, so he is 22 years old 2 years = 20 years old. Khloe is 10 years younger than Rupert so she is 20 years old 10 years = 10 years old. Eugene is 3 times older than Khloe so he is 10 years old * 3 = 30 years old. Yorick is twice Eugene's age so he is 30 years old * 2 = 60 years old. Amilia is a quarter of Yorick's age so she is 60 years old / 4 = 15 years old. Tricia is a third of Amilia's age so she is 15 years old / 3 = 5 years old. The answer is 5.
[Question]Each week Jaime saves $50. Every two weeks she spends $46 of her savings on a nice lunch with her mum. How long will it take her to save $135?
[Answer]Jamie saves 50 * 2 = $100 every two weeks. After the lunch with her mum, Jamie saves $100 - $46 = $54 every two weeks. Jamie saves $54 / 2 = $27 per week. Jamie will need 135 / 27 = 5 weeks to save enough. The answer is 5.
Q: Lillian is making chocolate cupcakes to sell at a fundraiser. She only has 3 cups of sugar at home. She goes to the store and buys 2 bags of sugar. Each bag of sugar contains 6 cups. The batter uses 1 cup of sugar per 12 cupcakes. She needs 2 cups of sugar to make enough frosting for a dozen cupcakes. How many dozen cupcakes can she bake and ice with the sugar she has?
A: The bags of sugar which she bought contain 2 * 6 = 12 cups. In total, she has 12 cups + 3 cups = 15 cups of sugar to use. She needs 1 cup + 2 cups = 3 cups of sugar to make the batter and frosting for a dozen cupcakes. Lillian has enough sugar to bake and ice 15 / 3 = 5 dozen cupcakes. The answer is 5.
Question: John scores 2 shots worth 2 points and 1 shot worth 3 points every 4 minutes. He plays for 2 periods. Each period is 12 minutes. How many points does he score?
Answer: He played for 2 * 12 = 24 minutes. He gets 2 * 2 = 4 points per minute from the two - point shots. So he scores 4 + 3 = 7 points per minute. There are 24 / 4 = 6 intervals. So he scores 7 * 6 = 42 points. The answer is 42.
[Question]Yesterday, Sarah collected 50 aluminum cans while Lara collected 30 more aluminum cans. Today, Sarah collected 40 while Lara collected 70 aluminum cans. How many fewer cans did they collect today than yesterday?
[Answer]Yesterday, Lara collected 50 + 30 = 80 aluminum cans. So Sarah and Lara collected a total of 50 + 80 = 130 aluminum cans yesterday. Today, Sarah and Lara collected a total of 40 + 70 = 110 aluminum cans. Thus, they collected 130 - 110 = 20 fewer aluminum cans today than yesterday. The answer is 20.
[Question]A zoo has 16 pandas, paired into mates (in the same zoo). Only 25% of the panda couples get pregnant after mating. If they each have one baby, how many panda babies are born?
[Answer]
First divide the number of pandas by 2 to find the number of couples: 16 pandas / 2 = 8 panda couples. Then multiply that number by 25% to find the number of babies: 8 panda couples * 25% = 2 panda babies. The answer is 2.