[Question]Going into the final game, Duke is so close to breaking the school's record for most points scored in a basketball season. He only needs 17 more points to tie the record. By the end of the game, Duke breaks the record by 5 points. The old record was 257 points. In the final game Duke made 5 free throws (worth one point), and 4 regular baskets (worth two points), and some three-pointers. Normally, he scores 2 three-pointers a game. How many more three-pointers did he score in the final game compared to his normal amount?
[Answer]Duke scored 22 points in the final game because 17 + 5 = 22. He scored 5 points of free - throws, because 5 x 1 = 5. He scored 8 points of regular baskets because 4 x 2 = 8. He made 9 points of three - pointers because 22 - 5 - 8 = 9. He scored 3 three - pointers in the final game because 9 / 3 = 3. Duke scored 1 more than normal because 3 - 2 = 1. The answer is 1.

[Question]Abigail spent 60% of her money on food, and 25% of the remainder on her phone bill. After spending $20 on entertainment, she is left with $40. How much money did Abigail have initially?
[Answer]Abigail had $20 + $40 = $60 left after paying her phone bill. The $60 is 100% - 25% = 75% of the remainder of her money after spending for food. Since 75% is $60, then 1% is $60 / 75 = $0.80. Thus, Abigail had $0.80 x 100 = $80 left after she spent money on food. The $80 is 100% - 60% = 40% of her original money. So 1% is $80 / 40 = $2. Therefore, Abigail initially had $2 x 100 = $200. The answer is 200.

[Question]While preparing balloons for Eva's birthday party, her mom bought 50 balloons and 1800cm³ of helium. One balloon needs 50cm³ to float high enough to touch the ceiling, and she can fill any remaining balloon with ordinary air. If she used up all of the helium and inflated every balloon, how many more balloons are touching the ceiling than not?
[Answer]50cm³ will make one balloon touch the ceiling so 1800cm³ will make 1800 / 50 = 36 balloons touch the ceiling. There are 50 balloons in total so 50 - 36 = 14 balloons will not float since they were filled with ordinary air. There are 36 - 14 = 22 more balloons touching the ceiling than not. The answer is 22.

[Question]Allen ordered five boxes of pizza, which cost $7 each box. He then gave a tip which amounts to 1/7 of the total cost of his order. If he gave the delivery man $100, how much change did he receive?
[Answer]
The total cost of five boxes of pizza is $7 x 5 = $35. He gave $35 x 1 / 7 = $5 tip to the delivery man. He spent a total of $35 + $5 = $40 for the pizza and the tip. The change that he received is $100 - $40 = $60. The answer is 60.