Question: A group of people pays $720 for admission tickets to an amusement park. The price of an adult ticket is $15, and a child ticket is $8. There are 25 more adults than children. How many children are in the group?
Answer: Step-by-step reasoning process: Let X be the number of children in the group. The number of adults in the group is X + 25. The group pays 8 * X + 15 * (X + 25) = $720. Multiplying through the parentheses, we get 8X + 15X + 375 = $720. Combining like terms, we get 23X + 375 = 720. Subtracting 375 from both sides, we get 23X = 720 - 375 = $345. Dividing both sides by 23, we get X = $345 / 23 = 15 children.
So the answer is 15.

Question: Paul needed to buy some new clothes for work. He had a 10% off coupon that he could use on his entire purchase after any other discounts. Paul bought 4 dress shirts at $15.00 apiece, 2 pairs of pants that each cost $40.00. He found a suit for $150.00 and 2 sweaters for $30.00 each. When he got to the register, the clerk told him that the store was offering 20% off of everything in the store. After the discounts and the coupon, how much did Paul spend on his new clothes?
Answer: Step-by-step reasoning process: 4 dress shirts cost $15.00 each so 4 * 15 = $60.00. 2 pants at $40.00 cost 2 * 40 = $80.00. 2 sweaters at $30.00 cost 2 * 30 = $60.00. Add the suit at $150 and the other items the total was 150 + 60 + 80 + 60 = $350. The store has having a 20% off sale so .20 * 350 = $70.00 discount. His new total would be 350 - 70 = $280.00. Then add his 10% discount, .10 * 280 = $28.00 additional off. His final total came out to 280 - 28 = $252.00.
So the answer is 252.

Question: Jane is looking at a tree. At the same time, the tree and Jane are casting shadows - the tree of 10 meters and Jane of 0.5 meters. Jane is 1.5 meters tall. How tall is the tree?
Answer: Step-by-step reasoning process: The shadow of Jane is 1.5 / 0.5 = 3 times smaller than her height. The height of the tree is therefore 3 times bigger than the shadow, so it's 3 * 10 = 30 meters tall.
So the answer is 30.

Question: The PTA had saved $400 set aside after a fundraising event. They spent a fourth of the money on school supplies. Then they spent half of what was left on food for the faculty. How much money did they have left?
Answer:
Step-by-step reasoning process: They spent $400 / 4 = $100 on school supplies. They spent $300 / 2 = $150 on food. They had $300 - 150 = $150 left.
So the answer is 150.