Q: Allie, Rob, and Allyn each bought a bowl of grapes. Allie's bowl contained two more grapes than Rob's bowl. Allyn's bowl contained four more grapes than Allie's bowl. If Rob's bowl contained 25 grapes, what is the total combined number of grapes in all three bowls?
A: If Allie's bowl contained two more grapes than Rob's bowl, there were 25 + 2 = 27 grapes in Allie's bowl. If Allyn's bowl contained four more grapes than Allie's bowl, there were 27 + 4 = 31 grapes in Allyn's bowl. The total combined number of grapes in all three bowls is 25 + 27 + 31 = 83 grapes. The answer is 83.
Question: Rick has just celebrated his 15th birthday. His oldest brother is twice his age, and his middle brother is a third of the oldest brother's age. The smallest brother is half the middle brother's age. If the youngest brother is 2 years younger than the smallest brother, how old, in years, is the youngest brother?
Answer: Rick's oldest brother is 15 years * 2 = 30 years old. This means the middle brother is 30 years / 3 = 10 years old. The smallest brother is therefore 10 years / 2 = 5 years old. So the youngest brother is 5 years 2 years = 3 years old. The answer is 3.
[Question]Ziggy is a club DJ. Typically, Ziggy gets 30 song requests every night. Half the songs requested are electropop. A third of that amount are requests for dance music. Five song requests are rock music, and song requests for oldies are three less in number than rock requests. Ziggy plays a DJ's choice song half the number of times he plays an oldie. Ziggy also sometimes gets rap song requests. Typically, how many rap songs does Ziggy get requested every night?
[Answer]Ziggy gets 30 / 2 = 15 electropop song requests every night. There are 15 / 3 = 5 dance song requests every night. There are 5 - 3 = 2 oldies requests every night. Ziggy plays DJ's choice 2 / 2 = 1 time every night. Thus, Ziggy gets 30 - 15 - 5 - 5 - 2 - 1 = 2 rap songs requested every night. The answer is 2.
Q: The pirates plan to explore 4 islands. Two islands require walking 20 miles per day while the other two islands require 25 miles per day. How many miles will they have to walk if it takes 1.5 days to explore each island?
A: It will take 1.5 days x 2 = 3 days to explore 2 islands. So, the pirates will walk 20 miles x 3 days = 60 miles to explore two islands. The other 2 islands will be explored by walking 25 miles x 3 days = 75 miles. Thus, the pirates will need to walk 60 + 75 = 135 miles to explore the 4 islands. The answer is 135.
Question: Jenna catches an eel that's 1/3 as long as Bill's. If the combined length of their eels is 64 inches, how long is Jenna's eel?
Answer: Let j be the length of Jenna's eel and b be the length of Bill's eel. We know that b = 3j and b + j = 64. Substituting the first equation into the second equation, we get 3j + j = 64. Combining like terms, we get 4j = 64. Dividing both sides by 4, we get j = 16. The answer is 16.
Q: Perry, Dana, Charlie, and Phil played golf together every week. At the end of the season, Perry had won five more games than Dana, but Charlie had won 2 games fewer than Dana. Phil had won 3 games more than Charlie did. If Phil won a total of 12 games, how many more games did Perry win than did Phil?
A:
If Phil had won 3 games more than did Charlie, and Phil won 12 games, then Charlie won 12 - 3 = 9 games. If Charlie had won 2 games fewer than Dana, and Charlie won 9 games, then Dana won 9 + 2 = 11 games. If Perry had won five more games than did Dana, and Dana won 11 games, then Perry won 11 + 5 = 16 games. Thus, Perry won 16 - 12 = 4 more games than did Phil. The answer is 4.