Question: The school principal decided that she wanted every class to have an equal number of boys and girls in each first-grade classroom. There are 4 classrooms. There are 56 boys and 44 girls. How many total students are in each classroom?
Answer: Each classroom will have 14 boys because 56 boys divided into 4 classrooms equals 14 boys per classroom. Each classroom will have 11 girls because 44 girls divided into 4 classrooms equals 11 girls per classroom. In total, each classroom will have 25 students because 14 boys plus 11 girls equals 25 total students. The answer is 25.
[Question]Rick likes to separate his collection of books into various groups by genre. He has 400 books in total and proceeds to divide them into two separate equally-sized categories repeatedly until he has each book in a category with 24 other books. How many times must he break these groups into smaller groups to accomplish this?
[Answer]Rick starts with 400 books and divides them into two categories of equal size, meaning there are two categories of 400 / 2 = 200 books. Rick repeats this process again, dividing the 200 book categories into equal halves, leaving him with 200 / 2 = 100 books in each. Rick repeats this process again, dividing the 100 book categories into equal halves, leaving him with 100 / 2 = 50 books in each. Rick repeats this process again, dividing the 50 book categories into equal halves, leaving him with 50 / 2 = 25 books in each. Since Rick is looking for categories with 25 books in each, he accomplishes this by the 4th step. The answer is 4.
Q: Joel collected a bin of old toys to donate. By asking his friends, he was able to collect 18 stuffed animals, 42 action figures, 2 board games, and 13 puzzles. His sister gave him some of her old toys from her closet, and then Joel added twice as many toys from his own closet as his sister did from hers. In all, Joel was able to donate 108 toys. How many of the donated toys were Joel’s?
A: Let T be the number of toys Joel’s sister donated. Joel donated twice as many toys, so he donated 2T toys. Joel’s friends donated 18 + 42 + 2 + 13 = 75 toys. In all, Joel collected T + 2T + 75 = 3T + 75 = 108 toys. Joel and his sister donated 3T = 108 - 75 = 33 toys together. Therefore, T = 33 / 3 = 11 toys were his sister’s. Thus, 2T = 2 * 11 = 22 toys were Joel’s. The answer is 22.
Question: Bob orders a pizza with 8 slices. He eats half of it and each slice was 300 calories. How many calories did he eat?
Answer: He ate 8 / 2 = 4 slices. So he ate 4 * 300 = 1200 calories. The answer is 1200.
[Question]The moon has a surface area that is 1/5 that of Earth. The surface area of the Earth is 200 square acres. The land on the moon is worth 6 times that of the land on the Earth. If the total value of all the land on the earth is 80 billion dollars, what is the total value in billions of all the land on the moon?
[Answer]If the moon land had the same value as earth land it would be worth 16 billion because 80 / 5 = 16. The moon's total land value is 96 billion because 16 x 6 = 96. The answer is 96.
[Question]Jeremy loves to play Scrabble. He once played a three-letter word on a triple word score to earn thirty points. If before the word score was tripled, the first and third letters were each valued at one point apiece, how much was the middle letter valued at before the word score was tripled?
[Answer]
Since the word score after being tripled was 30 points, then the word score before tripling was 30 / 3 = 10 points. If before the word score was tripled, the first and third letters were each valued at one point apiece, then the value of the middle letter was 10 - 1 - 1 = 8 points. The answer is 8.