Q: Hannah has three brothers. Her brothers are all 8 years old. How old is Hannah if she is twice as old as the sum of her brother's ages?
A: The total of Hannah's brothers' ages is 3 * 8 = 24. Hannah is twice as old as the total of her brothers' ages, so Hannah is 24 * 2 = 48 years old. The answer is 48.
Question: Aaron wants to purchase a guitar under a payment plan of $100.00 per month for 12 months. His father has agreed to lend him the entire amount for the guitar, plus a one-time 10% interest fee for the entire loan. With interest, how much money will Aaron owe his dad?
Answer: The guitar costs $100 every month for 12 months so it costs 100 * 12 = $1200. His dad is charging him 10% interest on the $1200 so interest comes to .10 * 1200 = $120.00. All total, Aaron will owe his father the price of the guitar, $1200 and the interest, $120 so 1200 + 120 = $1,320.00. The answer is 1320.
[Question]In the engineering department, 70% of the students are men and 180 are women. How many men are there?
[Answer]The percentage for women is 100% - 70% = 30%. Since 180 represents 30%, then 180 / 30 = 6 students represent 1%. Hence, 6 x 70 = 420 students are men. The answer is 420.
Q: Gina can paint six cups an hour with roses and 7 cups an hour with lilies. Her Etsy store gets an order for 6 rose cups and 14 lily cups. If Gina gets paid $90 total for the order, how much does she make per hour?
A: First find the total time to paint the rose cups: 6 cups / 6 cups / hour = 1 hour. Then find the total time to paint the lily cups: 14 cups / 7 cups / hour = 2 hours. Then add the painting time for each type of cup to find the total painting time: 1 hour + 2 hours = 3 hours. Then divide Gina's total earnings by the number of hours she works to find her hourly wage: $90 / 3 hours = $30 / hour. The answer is 30.
Question: Susie has 572 beans in the jar. One-fourth of them are red and one-third of the remaining beans are white. Then half of the remaining are green beans. How many green beans are there?
Answer: Susie has 572 x 1 / 4 = 143 red beans. There were 572 - 143 = 429 beans that are not red. There are 429 x 1 / 3 = 143 white beans. So, there were 429 - 143 = 286 beans left. Therefore, 286 / 2 = 143 beans are green. The answer is 143.
Q: At a bus station, a bus leaves every half-hour for 12 hours a day. How many buses leave the station for 5 days?
A:
If one bus leaves every half - hour, then during one hour, there are 1 + 1 = 2 buses that leave the station. During 5 days 2 * 12 * 5 = 120 buses leave the station. The answer is 120.