Question: A dime has the same value as 10 pennies and a nickel has the same value as 5 pennies. How many pennies will Grace have by exchanging her 10 dimes and 10 nickels?
Answer: Grace will have 10 x 10 = 100 pennies from her dimes. She will have 10 x 5 = 50 pennies from her nickels. Therefore, she will have a total of 100 + 50 = 150 pennies. The answer is 150.
[Question]Amara had 100 pieces of clothing but started donating her clothes to others. She donated 5 to one orphanage home and triple that to another orphanage home. If she decides to throw away 15 of her old clothes, how many pieces of clothing does she have remaining?
[Answer]Amara donates 5 + 5 * 3 = 5 + 15 = 20 pieces of clothing. After donating she is left with 100 - 20 = 80 pieces. After throwing away some clothes, she is left with 80 - 15 = 65 pieces. The answer is 65.
Q: To raise funds for her local soup kitchen, Didi enlisted the help of her family, friends, and neighbors. They donated 10 same-size cakes that she sliced into 8 slices per cake and started selling a slice for $1. A local business owner was so impressed by Didi's efforts that she offered to donate 50 cents for each slice Didi sold. A second business owner also offered to donate a quarter for each slice sold. If Didi sold all the slices, how much money did she raise?
A: All the cakes yielded 10 * 8 = 80 slices. Since Didi was selling each slice for $1, it means she sold everything for 80 * 1 = 80 dollars. The first business owner donated 50 / 100 * 80 = 40 dollars. The second business owner donated 25 / 100 * 80 = 20 dollars. Adding both amounts gives 80 + 40 + 20 = 140 dollars. The answer is 140.
Question: Ralph is a member of the cross-country relay team. There are four other members on the team who run 3 km to complete their part of the race. Ralph runs twice as much as any member on his team to complete his part of the race. How long is the race?
Answer: 4 team members each run 3 km, so 4 x 3 = 12 km. Ralph runs twice as much as any team member and since team members each run 3 km, Ralph runs 2 x 3 km = 6 km. The length of the race is 6 km run by Ralph + 12 km run by the rest of the team = 18 km. The answer is 18.
[Question]Martha is grinding a spice paste. She adds 3 tablespoons of ginger, 1 teaspoon of cardamom, 1 teaspoon of mustard, 2 tablespoons of garlic, and four times as much chile powder as mustard. What percentage of the spice paste is ginger, rounded to the nearest integer? (Remember there are three teaspoons per tablespoon.)
[Answer]First convert the ginger to teaspoons: 3 tablespoons * 3 teaspoons / tablespoon = 9 teaspoons. Then convert the garlic to teaspoons: 2 tablespoons * 3 teaspoons / tablespoon = 6 teaspoons. Then find how much chile powder there is: 1 teaspoon * 4 = 4 teaspoons. Then add up the amount of each spice to find the total amount: 9 teaspoons + 6 teaspoons + 4 teaspoons + 1 teaspoons + 1 teaspoon = 21 teaspoons. Then divide the amount of ginger by the total amount of spice paste and multiply by 100% to find the percentage of the spice paste that's ginger: 9 teaspoons / 21 teaspoons * 100% = 42.857, which rounds down to 43%. The answer is 43.
[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.