[Question]Half of all the people in Nantucket will attend a planned meeting for a bowl game. There are 300 people in Nantucket, and the number of males going to the meeting is twice the number of females. How many females are going to the meeting?
[Answer]If half of the people in Nantucket are going to the planned meeting, then there are 1 / 2 * 300 = 150 people going to the meeting. If the number of males going to the meeting is twice the number of females, we'll assume the number of females is x and the number of males is 2x. We know that x + 2x = 150. Adding like terms produces 3x = 150. After dividing both sides by 3, we have x = 150 / 3 = 50. The number of females attending the meeting is x = 50. The answer is 50.
Q: A train leaves its departure station with 6 coal cars, 12 iron cars, and 2 wood cars. Between each station, there are 6 miles, and it takes 25 minutes to travel between them. At each station, the train can deposit up to 2 coal cars, 3 iron cars, and 1 wood car. How many minutes will it take to deliver all the cars?
A: To deliver all the coal, you need to pass by 6 coal / 2 coal / station = 3 stations. To deliver all the iron, you need to pass by 12 iron / 3 iron / station = 4 stations. To deliver all the wood, you need to pass by 2 wood / 1 wood / station = 2 stations. So 4 stations are needed to deliver everything, so 4 stations * 25 minutes / station = 100 minutes are needed. The answer is 100.
Question: Tamtam collected 65 shells in total. She got 13 purple shells, 8 pink shells, 18 yellow shells, and 12 blue shells. The remaining shells are color orange. How many orange shells are there?
Answer: Tamtam has a total of 13 + 8 + 18 + 12 = 51 shells that are not orange. Therefore, Tamtam has a total of 65 – 51 = 14 orange shells. The answer is 14.
[Question]A group of 4 fruit baskets contains 9 apples, 15 oranges, and 14 bananas in the first three baskets and 2 less of each fruit in the fourth basket. How many fruits are there?
[Answer]For the first three baskets, the number of apples and oranges in one basket is 9 + 15 = 24. In total, together with bananas, the number of fruits in one basket is 24 + 14 = 38 for the first three baskets. Since there are three baskets each having 38 fruits, there are 3 * 38 = 114 fruits in the first three baskets. The number of apples in the fourth basket is 9 - 2 = 7. There are also 15 - 2 = 13 oranges in the fourth basket. The combined number of oranges and apples in the fourth basket is 13 + 7 = 20. The fourth basket also contains 14 - 2 = 12 bananas. In total, the fourth basket has 20 + 12 = 32 fruits. The four baskets together have 32 + 114 = 146 fruits. The answer is 146.
Q: She sold twice as many boxes on Tuesday as she did on Wednesday, and she sold twice as many boxes on Wednesday as she did on Thursday. If Kim sold 1200 boxes of cupcakes on Thursday, how many boxes did she sell on Tuesday?
A: Kim sold 1200 * 2 = 2400 boxes of cupcakes on Wednesday. Kim sold 2400 * 2 = 4800 boxes of cupcakes on Tuesday. The answer is 4800.
Question: Today, at the school science lesson, Jake learned that there are 8 more solar systems for every planet in the galaxy. If there are 20 planets in the galaxy, how many solar systems and planets are there altogether?
Answer:
If there are 8 more solar systems for every planet in the galaxy, there are 8 + 1 = 9 solar systems for every planet. Since the number of planets is 20, there are 20 * 9 = 180 solar systems in the galaxy. Altogether, there are 180 + 20 = 200 solar systems and planets in the galaxy. The answer is 200.