Q: Diana gets 30 minutes of video game time for every hour she reads. Her dad decided to raise her reward by 20%. Diana read for 12 hours this week. How many more minutes of video game time will she get as a result of her raise?
A: Diana’s raise was 20% of her 30 - minute video game time, or 0.20 x 30 minutes = 6 minutes. Diana is now making 30 minutes + 6 - minute raise = 36 minutes for every hour she reads. Diana read 12 hours x 36 minutes of video game time, so she received 432 minutes of video game time after her raise. Before, if Diana read 12 hours x 30 minutes of video game time, she would have received 360 minutes. The amount she received after her raise, 432 minutes – 360 minutes at her old rate = 72 more minutes after her raise. The answer is 72.
Question: Joe sells cookies for 20% more than it costs to make them. If he sold 50 cookies and earned $60, how much do the cookies cost to make?
Answer: He sold the cookies for $1.20 each because 60 / 50 = 1.2. They cost $1 to make because 1.2 / 1.2 = 1. The answer is 1.
[Question]Half of Taylor's house guests like weak coffee and the other half like strong coffee in the morning. Taylor uses 1 tablespoon of coffee per cup of water to make it weak and he doubles that amount to make it strong. If he makes 12 cups of both weak and strong coffee, how many tablespoons of coffee will he need?
[Answer]He uses 1 tablespoon for weak coffee and doubles that for strong so the strong uses 1 * 2 = 2 tablespoons. For the weak coffee he uses 1 tablespoon per 1 cup of water and he needs to make 12 cups so he'll use 1 * 12 = 12 tablespoons. For the strong coffee he uses 2 tablespoons per 1 cup of water and he needs to make 12 cups so he'll use 2 * 12 = 24 tablespoons. All total he will use 12 tablespoons for the weak coffee and 24 tablespoons for the strong coffee for a total of 12 + 24 = 36 tablespoons. The answer is 36.
Q: Grandma Olga has 3 daughters and 3 sons. If all her daughters each have 6 sons, and each of her sons has 5 daughters, how many grandchildren does she have in total?
A: From her daughters, Olga has 3 x 6 = 18 grandsons. From her sons, she has 3 x 5 = 15 granddaughters. Altogether, Olga has 18 + 15 = 33 grandchildren. The answer is 33.
Question: Milly is figuring out how long she needs to spend studying. She knows that her math homework will take 60 minutes. Her geography homework will take half as long as her math homework, and her science homework will take time equal to the mean amount of time she spent studying math and geography. How many minutes does Milly spend studying?
Answer: First find how long Milly spends studying geography by dividing her math homework time by 2: 60 minutes / 2 = 30 minutes. Now find the total amount of time Milly spent on math and geography: 30 minutes + 60 minutes = 90 minutes. Now calculate the mean amount of time Milly spends on math and geography by dividing the total time spent by the number of subjects, which is 2: 90 minutes / 2 = 45 minutes. Now add the time Milly spent on all three subjects to find the total: 45 minutes + 30 minutes + 60 minutes = 135 minutes. The answer is 135.
Q: Jimmy is setting up a garden. He has three plots: one plot for green beans, one plot for carrots, and one plot for corn. Each corn plant produces 5 times as many servings of veggies as each carrot, and each green bean plant produces half as many servings as each corn plant. If each carrot produces 4 servings of vegetables, and each plot has 9 plants, how many servings of vegetables is Jimmy growing?
A:
First, find how many servings one corn plant produces by multiplying the number of carrot servings by 5: 4 servings * 5 = 20 servings. Then find how many servings one green bean plant produces by dividing the number of corn servings by two: 20 servings / 2 = 10 servings. Now multiply the number of servings per carrot plant by the number of carrot plants: 4 servings / plant * 9 plants = 36 servings. Do the same for corn: 20 servings / plant * 9 plants = 180 servings. And do the same for green beans: 10 servings / plant * 9 plants = 90 servings. Now add up the servings for all three types of plant: 36 servings + 180 servings + 90 servings = 306 servings. The answer is 306.