[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.
Q: Mark bought a shirt, pants, and shoes for $340. What is the price of the pants knowing that the price of a shirt is three-quarters of the price of the pants and that the price of a shoe is ten dollars more than the price of the pants?
A: Let X be the price of the pants. The price of the shirt is 3 / 4 * X. The price of the shoes is X + 10. The total amount paid is X + 3 / 4 * X + X + 10 = $340. Combining like terms we get X * 11 / 4 + 10 = $340. Subtracting 10 from both sides we get X * 11 / 4 = $330. Dividing both sides by 11 / 4 we get X = $120. The answer is 120.
Question: Today Geoff bought 2 pairs of sneakers and spent $60 equally between the two. Tomorrow, he's going to spend 4 times as much on sneakers than he did on Monday. Wednesday, he'll spend 5 times as much on sneakers than he did on Monday. How much will Geoff spend on sneakers over these three days?
Answer: Tomorrow Geoff will spend 60 * 4 = 240 dollars. Wednesday Geoff will spend 60 * 5 = 300 dollars. Total spent in three days is 60 + 240 + 300 = 600 dollars. The answer is 600.
[Question]Debby and Maggie agreed to share a sum of money so that Debby takes 25% and Maggie takes the rest. If Maggie's share is $4,500, how much did they share?
[Answer]If Debby's share is 25% and Maggie takes the rest, then Maggie's share is 100% - 25% = 75%. 75% of the total amount is Maggie's share = total amount * (75 / 100) = $4500. Multiplying both sides of the equation by 100 / 75 gives the total amount = (100 / 75) * $4500 = $6000. The answer is 6000.
Q: Four days ago, Carlos bought a bag of gummy worms. Every day he ate half of the remaining gummy worms. After eating half of the remainder on the fourth day, he now has 4 gummy worms left. How many gummy worms were in the bag when Carlos bought it?
A: Let G be the number of gummy worms in the bag when Carlos bought it. On the first day, he ate half the gummy worms, so he had G / 2 gummy worms. On the second day, he ate half of the remaining gummy worms, so he had G / 2 / 2 = G / 4 gummy worms. On the third day, he ate another half, so he had G / 4 / 2 = G / 8 gummy worms. On the fourth day, he ate another half and had 4 left, so he had G / 8 / 2 = G / 16 = 4 gummy worms. Thus, there were G = 4 * 16 = 64 gummy worms in the bag when Carlos bought it. The answer is 64.
Question: Henry had some games, and he gave six of them to Neil. Now, Henry has 4 times more games than Neil. If Neil had 7 games at first, how many games did Henry have at first?
Answer:
After getting six games from Henry, Neil has 6 + 7 = 13 games. Now, Henry has 13 * 4 = 52 games. Henry had 52 + 6 = 58 games at first. The answer is 58.