Appearance
question:Jade is building a lego tower. She has x pieces. Each level has to be 7 pieces wide. If she has 23 pieces left at the end, how many levels is her tower? If we know the answer to the above question is 11, what is the value of unknown variable x?
answer:Each level of the tower has to be 7 pieces wide. Jade has 23 pieces left at the end, which means she used x - 23 pieces for the tower. The number of levels in her tower is the total number of pieces used divided by the width of each level: (x - 23) / 7. We are given that the number of levels is 11, so we can write: (x - 23) / 7 = 11. Multiplying both sides by 7, we get: x - 23 = 77. Adding 23 to both sides, we get: x = 100. The value of x is 100. 100 The answer is: 100
question:Miss Walter has 50 gold stickers. She also has twice as many silver stickers as gold stickers, and 20 fewer bronze stickers than silver stickers. She wants to give the same number of stickers to each of her x students. How many stickers will each student receive? If we know the answer to the above question is 46, what is the value of unknown variable x?
answer:Miss Walter has 50 gold stickers. She has twice as many silver stickers as gold stickers, which means she has 2 * 50 = 100 silver stickers. She also has 20 fewer bronze stickers than silver stickers, which means she has 100 - 20 = 80 bronze stickers. The total number of stickers Miss Walter has is the sum of the number of gold, silver, and bronze stickers: 50 + 100 + 80 = 230 stickers. She wants to give the same number of stickers to each of her x students, so each student will receive 230 / x stickers. We are given that each student will receive 46 stickers, so we can write: 230 / x = 46. Solving for x, we get: x = 5. The value of x is 5. 5 The answer is: 5
question:ppy Cattle Ranch is home to 200 cows. Every year, the mother cows have enough calves that the number of cows the rancher owns rises by half the number of cows living on the ranch. If the rancher does not buy or sell any cows, how many cows will the rancher own on Happy Cattle Ranch in two years?
answer:In the first year, the number of cows on the ranch increases by half of the current number of cows, which is 200/2 = 100 cows. After one year, the rancher will own 200 + 100 = 300 cows. In the second year, the number of cows on the ranch increases by half of the current number of cows, which is 300/2 = 150 cows. After two years, the rancher will own 300 + 150 = 450 cows. 450 The answer is: 450
question:Anika has 4 more than twice the number of pencils as Reeta. If Reeta has 20 pencils, how many pencils do the two have together?
answer:Twice the number of pencils Reeta has is 20 x 2 = 40 pencils. Anika has 4 more than twice the number of pencils as Reeta, so Anika has 40 + 4 = 44 pencils. Together, Anika and Reeta have 20 + 44 = 64 pencils. 64 The answer is: 64