Question: There are 100 students in class and the ratio of boys to girls is 3:2. How many more boys than girls are there?
Answer: The class was divided into 3 + 2 = 5 parts. So each part is equal to 100 / 5 = 20 students. Since there are 3 parts for boys, then there are 20 x 3 = 60 boys in class. So there are 100 - 60 = 40 girls in class. Hence, there are 60 - 40 = 20 boys more than girls. The answer is 20.
[Question]Mcgregor and Floyd were assigned 89 books to read for the week. If Mcgregor was able to finish 34 while Floyd was able to finish 32, how many books do they still have to read?
[Answer]They both finished reading a total of 34 + 32 = 66 books. Therefore, they still have to read a total of 89 – 66 = 23 books. The answer is 23.
Q: CJ, KJ, and AJ collect stamps. CJ has 5 more than twice the number of stamps that KJ has, and KJ has half as many as AJ. If the three boys have 930 stamps all together, how many stamps does AJ have?
A: Let x represent the number of stamps for AJ. KJ:x / 2 stamps. CJ:5 + 2(x / 2) = 5 + x. Total:x + (x / 2) + 5 + x = 930. (5 / 2)x + 5 = 930. (5 / 2)x = 925. x = 925(2 / 5) = 370 stamps. The answer is 370.
Question: A box has 2 dozen water bottles and half a dozen more apple bottles than water bottles. How many bottles are in the box?
Answer: Since a dozen has 12 items, the box has 2 dozen water bottles, a total of 2 * 12 = 24 water bottles. The box also has half a dozen more apple bottles than water bottles, meaning there are 1 / 2 * 12 = 6 more apple bottles than water bottles. The total number of apple bottles in the box is 24 + 6 = 30. In the box, there are a total of 30 + 24 = 54 bottles. The answer is 54.
[Question]One logger can cut down 6 trees per day. The forest is a rectangle measuring 4 miles by 6 miles, and each square mile has 600 trees. If there are 30 days in each month, how many months will it take 8 loggers to cut down all the trees?
[Answer]First find the total area of the forest: 4 miles * 6 miles = 24 square miles. Then find the total number of trees in that area: 600 trees / square mile * 24 square miles = 14400 trees. Then find the number of trees all the loggers can cut down in one day: 8 loggers * 6 trees / logger = 48 trees. Then divide the total number of trees by the number cut down per day to find the number of days it takes to clear the forest: 14400 trees / 48 trees / day = 300 days. Then divide the time in days by the number of days per month to find the time in months: 300 days / 30 days / month = 10 months. The answer is 10.
[Question]Lindsey saved $50 in September, she saved $37 in October, and $11 in November. Lindsey's mom said that since Lindsey had saved more than $75, she would give Lindsey $25. Then Lindsey spent $87 on a video game. How much money did Lindsey have left?
[Answer]
Lindsey saved $50 + $37 + $11 = $98. $98 is greater than $75, so Lindsey is given an addition $25 + her original $98 = $123. Lindsey had $123 - $87 video game = $36 remaining. The answer is 36.