Q: There are 100 students in class and the ratio of boys to girls is 3:2. How many more boys than girls are there?
A: 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: Jerry's breakfast includes 6 pancakes with 120 calories each, two strips of bacon with 100 calories each, and a bowl of cereal with 200 calories. How many calories is his breakfast total?
Answer: First find the total number of calories in the pancakes: 6 pancakes * 120 calories / pancake = 720 calories. Then find the total number of calories in the bacon: 2 strips * 100 calories / strip = 200 calories. Then add the number of calories in each food to find the total number of calories: 720 calories + 200 calories + 200 calories = 1120 calories. The answer is 1120.
[Question]There are 3/5 times as many people living in Boise as the number living in Seattle. There are 4000 more people in Lake View than the population in Seattle. If Lake View's population is 24000, calculate the total population of the three cities.
[Answer]If Lake View's population is 24000, then there are 24000 - 4000 = 20000 people living in Seattle. The total population of Seattle and Lake view is 20000 + 24000 = 44000. Since the population in Boise is 3 / 5 times that of Seattle, there are 3 / 5 * 20000 = 12000 people living in Boise. The three cities have a total population of 44000 + 12000 = 56000. The answer is 56000.
Q: Jenine can sharpen a pencil 5 times before it runs out. She needs to sharpen a pencil for every 1.5 hours of use. She already has ten pencils and needs to write for 105 hours. A new pencil costs $2. How much does she need to spend on more pencils to be able to write for 105 hours?
A: A pencil last 7.5 hours because 5 x 1.5 = 7.5. The pencils she has will last 75 hours because 10 x 7.5 = 75. She needs 30 more hours of writing because 105 - 75 = 30. She will need 4 more pencils to reach this because 30 / 7.5 = 4. She will spend $8 on pencils because 4 x 2 = 8. The answer is 8.
Question: There are 480 zombies in the shopping mall. If the number of zombies doubled every day, how many days ago were there less than 50 zombies in the mall?
Answer: First find how many zombies there were one day ago: 480 zombies / 2 = 240 zombies. Then find how many zombies there were two days ago: 240 zombies / 2 = 120 zombies. Then find the number of zombies there were three days ago: 120 zombies / 2 = 60 zombies. Then find the number of zombies there were four days ago: 60 zombies / 2 = 30 zombies, which is less than 50, so there were less than 50 zombies 4 days ago. The answer is 4.
Q: A bathroom has 10 6 inch tiles along its width and 20 6 inch tiles along its length. What is the square footage of the bathroom?
A:
There are 10 tiles that are 6 inches long running the width of the bathroom so it is 10 * 6 = 60 inches long. There are 12 inches in a foot and it’s 60 inches wide so it is 60 / 12 = 5 feet wide. There are 20 tiles that are 6 inches long running the length of the bathroom so it’s 20 * 6 = 120 inches long. There are 12 inches in a foot and it’s 120 inches long so it is 120 / 12 = 10 feet wide. The square footage is l x w so the bathroom has 10 * 5 = 50 sq feet. The answer is 50.