[Question]A train takes 4 hours to reach a destination at a speed of 50 miles per hour. How long would it take if it traveled at 100 miles per hour instead?
[Answer]The distance to the destination is 4 hours * 50 miles / hour = 200 miles. Traveling at 100 miles per hour, it will take 200 miles / (100 miles / hour) = 2 hours. The answer is 2.
Q: Andy works in the pro shop at a tennis resort, where he earns $9 an hour. In addition to this, he gets paid $15 for each racquet he restrings, $10 for changing out the grommets on a racquet, and $1 for painting a stencil on the racquet strings. How much does he earn (before taxes) during an 8-hour shift if he strings 7 racquets, changes 2 sets of grommets, and paints 5 stencils?
A: Andy works 8 hours, so he earns a wage of 8 hours * $9 per hour = $72 just for working there. During that time, he restrings 7 racquets, so he earns 7 racquets * $15 per racquet = $105 from stringing. He also changed the grommets in 2 of those racquets, so he earned 2 grommet jobs * $10 per grommet job = $20 from changing grommets. And he stenciled 5 racquets, so he earned 5 stencil jobs * $1 per stencil job = $5 for stenciling. In total, Andy earned $72 + $105 + $20 + 5 = $202 for the day. The answer is 202.
Question: Darrel has 76 quarters, 85 dimes, 20 nickels and 150 pennies. If he drops all of his money into a coin-counting machine, they will convert his change into dollars for a 10% fee. How much will he receive after the 10% fee?
Answer: He has 76 quarters so that’s 76 * .25 = $19.00. He has 85 dimes so that’s 85 * .10 = $8.50. He has 20 nickels so that’s 20 * .05 = $1.00. He has 150 pennies so that’s 150 * .01 = $1.50. All total he has 19 + 8.5 + 1 + 1.5 = $30.00. They charge a 10% fee to count and convert his change into dollars so they will charge him .10 * 30 = $3.00. He had $30.00 and they charged him $3.00 in fees so he now has 30 - 3 = $27.00. The answer is 27.
[Question]Josh found out that 7 bottle caps weigh exactly one ounce. Josh's entire bottle cap collection weighs 18 pounds exactly. How many bottle caps does Josh have in his collection?
[Answer]Josh's collections weights 18 * 16 = 288 ounces. Josh's collection contains 288 * 7 = 2016 caps. The answer is 2016.
Q: Lillian is making chocolate cupcakes to sell at a fundraiser. She only has 3 cups of sugar at home. She goes to the store and buys 2 bags of sugar. Each bag of sugar contains 6 cups. The batter uses 1 cup of sugar per 12 cupcakes. She needs 2 cups of sugar to make enough frosting for a dozen cupcakes. How many dozen cupcakes can she bake and ice with the sugar she has?
A: The bags of sugar which she bought contain 2 * 6 = 12 cups. In total, she has 12 cups + 3 cups = 15 cups of sugar to use. She needs 1 cup + 2 cups = 3 cups of sugar to make the batter and frosting for a dozen cupcakes. Lillian has enough sugar to bake and ice 15 / 3 = 5 dozen cupcakes. The answer is 5.
Question: Ivy baked 20 cupcakes in the morning and fifteen more cupcakes in the afternoon than in the morning. How many cupcakes did she bake?
Answer:
In the afternoon, she baked 20 + 15 = 35 cupcakes more cupcakes. Therefore, she baked a total of 20 + 35 = 55 cupcakes. The answer is 55.