Q: Miggy's mom brought home 3 bags of birthday hats. Each bag has 15 hats. Miggy accidentally tore off 5 hats. During the party, only 25 hats were used. How many hats were unused?
A: There are a total of 15 x 3 = 45 hats in 3 bags. Since 5 tore off, only 45 - 5 = 40 hats were left. Thus, 40 - 25 = 15 hats were unused. The answer is 15.

Q: Calvin and Paislee played a pool game where points were awarded for winning a round. If Calvin had scored 500 points and Paislee 3/4 times as many points as Calvin, how many points was Paislee required to achieve to have a chance of tying the game?
A: If Calvin had scored 500 points and Paislee 3 / 4 times as many points as Calvin, Paislee had scored 3 / 4 * 500 = 375 points. To have a chance of tying the game, Paislee had to score 500 - 375 = 125 points. The answer is 125.

Q: Two alien spacecraft on a sightseeing tour of Earth left New Orleans airport at 3:00 pm to travel the 448-mile distance to Dallas by air. Traveling nonstop, the first spacecraft landed in Dallas at 3:30 pm, while the second spacecraft landed in Dallas thirty minutes later. Assuming both spacecraft traveled at constant speed, what was the difference in speed, in miles per hour, between the two spacecraft?
A:
The first spacecraft flew for 30 minutes, or 30 / 60 = 1 / 2 hour. The second spacecraft flew for 30 + 30 = 60 minutes, or 1 hour. Thus the first spacecraft traveled at a speed of 448 miles in 1 / 2 hour, or 448 / (1 / 2) = 896 miles per hour. The second spacecraft traveled 448 miles in 1 hour, or 448 / 1 = 448 miles per hour. The difference in speed, in miles per hour, between the two spacecraft was 896 - 448 = 448 miles per hour. The answer is 448.