Appearance
question:Carter can read half as many pages as Lucy in 1 hour. Lucy can read 20 more pages than Oliver in 1 hour. Oliver can read x pages. How many pages can Carter read in 1 hour? If we know the answer to the above question is 30, what is the value of unknown variable x?
answer:We know that Lucy can read 20 more pages than Oliver in 1 hour. So if Oliver can read x pages, then Lucy can read x + 20 pages in 1 hour. We also know that Carter can read half as many pages as Lucy in 1 hour. Therefore, Carter can read (1/2)*(x + 20) pages in 1 hour. We are given that Carter can read 30 pages in 1 hour, so we can write: (1/2)*(x + 20) = 30. Multiplying both sides by 2, we get: x + 20 = 60. Subtracting 20 from both sides, we get: x = 40. The value of x is 40. 40 The answer is: 40
question:f Jangshe spent 610 on 7 pieces of clothing, with one piece costing 49 and another piece costing 81, what is the price, in dollars, of one of the other pieces if they were all the same price?
answer:Jangshe spent 49 + 81 = 130 on the first two pieces of clothing. He spent 610 - 130 = 480 on the other 5 pieces of clothing. If all the other pieces were the same price, then each piece would cost 480 / 5 = <<480/5=96>>96. The price of one of the other pieces is 96. 96 The answer is: 96
question:today's field day challenge, the 4th graders were competing against the 5th graders. Each grade had 2 different classes. The first 4th grade class had 12 girls and 13 boys. The second 4th grade class had 15 girls and 11 boys. The first 5th grade class had 9 girls and 13 boys while the second 5th grade class had 10 girls and 11 boys. In total, how many more boys were competing than girls?
answer:The first 4th grade class had 12 girls + 13 boys = 25 students. The second 4th grade class had 15 girls + 11 boys = 26 students. The first 5th grade class had 9 girls + 13 boys = 22 students. The second 5th grade class had 10 girls + 11 boys = 21 students. In total, there were 25 + 26 + 22 + 21 = 94 students competing. The total number of girls competing was 12 + 15 + 9 + 10 = 46 girls. The total number of boys competing was 13 + 11 + 13 + 11 = 48 boys. Therefore, there were 48 boys - 46 girls = 2 more boys competing than girls. 2 The answer is: 2
question:Nikki's garden, the ratio of irises to roses is 2:5. She currently has 25 roses and plans to add 20 more roses, along with enough irises to maintain the same ratio. How many irises will she have in total after adding the roses?
answer:The ratio of irises to roses is 2:5, so for every 2 irises, there are 5 roses. Since Nikki currently has 25 roses, she must have frac{2}{5} cdot 25 = 10 irises. After adding 20 more roses, she will have a total of 25 + 20 = 45 roses. To maintain the same ratio, she will need frac{2}{5} cdot 45 = boxed{18} irises. The answer is: 18