Question: Yolanda leaves home for work at 7:00 AM, riding her bike at 20 miles per hour. 15 minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to catch her?
Answer: Let x be the number of minutes it takes Yolanda's husband to catch her. We know that Yolanda will spend a total of x + 15 minutes riding her bike since she left 15 minutes before her husband. The distance each person travels is equal to their travel speed times the number of minutes they spend traveling. That means Yolanda's distance is equal to 20 mph * (x + 15) and her husband's distance is equal to 40 mph * x. Yolanda's husband catches up to her when they've both traveled the same distance, which is when 20(x + 15) = 40x. We can simplify this equation by multiplying 20 through the parentheses to get 20x + 300 = 40x. Then we can subtract 20x from each side to get 300 = 20x. Finally, we divide both sides by 20 to find that x = 15. The answer is 15.
[Question]8 jumbo scallops weigh one pound and cost $24.00 a pound. Nate is pairing 2 scallops with a corn bisque as a light summer dinner. He’s cooking for 8 people. How much will the scallops cost?
[Answer]He’s cooking for 8 people and wants to serve 2 scallops per person so he needs 8 * 2 = 16 scallops. 8 jumbo scallops come in 1 pound and he needs 16 scallops so he will need 16 / 8 = 2 pounds of scallops. A pound of scallops weigh $24.00 and he needs 2 pounds so it will cost him 24 * 2 = $48.00 for scallops. The answer is 48.
Q: Mrs. Anderson bought 2 bags of 3-pound bag of cat food and another 2 bags of dog food that each weigh 2 more pounds than each bag of cat food. There are 16 ounces in each pound. How many ounces of pet food did Mrs. Anderson buy?
A: The two bags of cat food weigh 2 x 3 = 6 pounds. Each bag of dog food weighs 3 + 2 = 5 pounds. So two bags of dog food weigh 2 x 5 = 10 pounds. Thus, Mrs. Anderson bought 6 + 10 = 16 pounds of pet food. And 16 pounds is equal to 16 x 16 = 256 ounces. The answer is 256.
Question: Gary manages two Amazon distribution centers. The first center processes 10000 packages per day, and the second center processes three times that volume. If Amazon makes 5 cents of profit per package, how much profit per week do the two centers make combined?
Answer: First find how many packages the second center processes per day: 10000 packages / day * 3 = 30000 packages / day. Then add the packages the first center processes: 30000 packages / day + 10000 packages / day = 40000 packages / day. Then multiply the number of packages by Amazon's profit per package to find Amazon's daily profit: 40000 packages / day * $0.05 / package = $2000 / day. Then multiply the daily profits by the number of days in a week to find the weekly profits: $2000 / day * 7 days / week = $14000 / week. The answer is 14000.
[Question]Mr. and Mrs. Hugo went on a road trip. On the first day, they traveled 200 miles. On the second day, they traveled 3/4 as far. On the third day, they traveled 1/2 as many miles as the first two days combined. How many miles did they travel for 3 days?
[Answer]On the second day, Mr. and Mrs. Hugo traveled 200 x 3 / 4 = 150 miles. They traveled a total of 200 + 150 = 350 miles in the first two days. On the third day, they traveled 350 x 1 / 2 = 175 miles. So, Mr. and Mrs. Hugo traveled a total of 200 + 150 + 175 = 525 miles for 3 days. The answer is 525.
[Question]Alexa has a lemonade stand where she sells lemonade for $2 for one cup. If she spent $20 on ingredients, how many cups of lemonade does she need to sell to make a profit of $80?
[Answer]
To make a profit of $80, she needs to make $80 + $20 = $100. She needs to sell $100 / $2 = 50 cups of lemonade. The answer is 50.