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question:Jack has a stack of books that is x inches thick. He knows from experience that 80 pages is one inch thick. If he has 6 books, how many pages is each one on average? If we know the answer to the above question is 160, what is the value of unknown variable x?
answer:Jack has a stack of books that is x inches thick. He knows that 80 pages is one inch thick, so the number of pages in the stack of books is 80 * x. He has 6 books, so the average number of pages per book is (80 * x) / 6. We are given that the average number of pages per book is 160, so we can write: (80 * x) / 6 = 160. Multiplying both sides by 6, we get: 80 * x = 960. Dividing both sides by 80, we get: x = 12. The value of x is 12. 12 The answer is: 12
question:John decides to buy some birds. He got x dollars from each of his 4 grandparents. If each bird costs 20, All the birds had 20 wings. What is the value of unknown variable x? What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the amount of money John received from each of his 4 grandparents. We know that each bird costs 20 and all the birds had 20 wings. Therefore, the total cost of the birds would be 20 * number of birds. The total amount of money John received from his grandparents would be 4 * x. We can set up the equation as follows: Total cost of birds = Total amount of money received from grandparents 20 * number of birds = 4 * x Let's simplify and solve for x: 20 * number of birds = 4 * x Since all the birds had 20 wings, we can assume that the number of birds is equal to the number of wings divided by 2: 20 * (number of wings / 2) = 4 * x 10 * number of wings = 4 * x To isolate x, we divide both sides of the equation by 4: 10 * number of wings / 4 = 4 * x / 4 5 * number of wings / 2 = x Finally, since all the birds had 20 wings, we can substitute the number of wings with 20: 5 * 20 / 2 = x 100 / 2 = x x = 50 The value of x is 50. 50 The answer is: 50
question:The arithmetic mean of 12 scores is 82. When the highest and lowest scores are removed, the new mean becomes 84. If the highest of the 12 scores is 98, what is the lowest score?
answer:The sum of the 12 scores is 12 times 82 = 984. The sum of the remaining 10 scores is 10 times 84 = 840. The sum of the two removed scores is 984 - 840 = 144. Since the highest score is 98, the lowest score is 144 - 98 = boxed{46}.The answer is: 46
question:Fifi's closet, she hangs all of her clothes on colored plastic hangers. She has clothes hanging on 7 pink hangers, 4 green hangers, one less blue hanger than there are green hangers, and one less yellow hanger than there are blue hangers. What is the total number of colored hangers in Fifi's closet?
answer:Fifi has 7 pink hangers. She has 4 green hangers. She has one less blue hanger than there are green hangers, so she has 4-1=3 blue hangers. She has one less yellow hanger than there are blue hangers, so she has 3-1=2 yellow hangers. In total, Fifi has 7 pink + 4 green + 3 blue + 2 yellow = 16 colored hangers in her closet. 16 The answer is: 16