Question: A school principal is booking hotel rooms for a class of 30 students to stay at during an overnight field trip. Each of the hotel's rooms has two queen size beds, which can fit two students each, and a pull-out couch, which can fit one student. How many rooms does the principal need to book to fit all of the students in the class?
Answer: Each room can fit 2 * 2 + 1 = 5 students. Thus, the principal needs to book 30 / 5 = 6 rooms to fit everyone. The answer is 6.

Question: A banana tree has 100 bananas left after Raj cut some bananas from it. If Raj has eaten 70 bananas and has twice as many remaining in his basket, how many bananas were on the tree initially?
Answer: If Raj has eaten 70 bananas in the basket, he has 2 * 70 = 140 bananas. The total number of bananas that Raj cut from the tree is 140 + 70 = 210. On the tree initially were 100 + 210 = 310 bananas. The answer is 310.

Question: Diana wants to buy winter clothes for all the 40 children at her local children's home. The home has five times as many teenagers as toddlers. There are also some newborns. If there are 6 toddlers, for how many newborns will Diana be shopping?
Answer: There are 6 toddlers, which means that the children’s home has 5 teenagers / toddler * 6 toddlers = 30 teenagers. Diana will be shopping for 40 children - 30 teenagers - 6 toddlers = 4 newborns. The answer is 4.

Question: There are some kids in camp. Half of the kids are going to soccer camp, and 1/4 of the kids going to soccer camp are going to soccer camp in the morning. 750 kids are going to soccer camp in the afternoon. How many kids there in camp altogether?
Answer:
There are 750 / 3 = 250 kids going to soccer camp in the morning. There are 250 * 4 = 1000 kids going to soccer camp altogether. There are 1000 * 2 = 2000 kids in camp altogether. The answer is 2000.