[Question]Mary and Mike are sharing a jar of paint. Mary paints a dragon using 3 square feet worth of paint. Mike paints a castle using 2 square feet more paint than Mary used on her dragon. They both then work together to paint the biggest sun possible. If there was originally enough paint in the jar to cover 13 square feet, how many square feet of paint can be used to paint the sun?
[Answer]The castle uses 3 + 2 = 5 square feet of paint. The sun uses 13 - 3 - 5 = 5 square feet of paint. The answer is 5.
Q: Lyssa and Precious took an English proficiency exam. Lyssa answered 20% of the items incorrectly. Precious got 12 mistakes. How many more correct answers did Lyssa get than precious if there were 75 items in the exam?
A: Lyssa got 75 x 20 / 100 = 15 mistakes. Lyssa's score is 75 - 15 = 60. The score of Precious is 75 - 12 = 63. Thus, Lyssa got 63 - 60 = 3 more correct answers than Precious. The answer is 3.
Question: Sarah, Mary, and Tuan decided to go to the restaurant for a meal. They decided to split the cost of the meal evenly. If the total price of the meal comes to $67 and they have a coupon for $4, how much does each person need to contribute to the bill?
Answer: After using the coupon, the final price comes to 67 - 4 = 63 dollars. With three people, they each need to pay 63 / 3 = 21 dollars each. The answer is 21.
[Question]Catherine had an equal number of pencils and pens. If she had 60 pens and gave eight pens and 6 pencils to each of her seven friends and kept the rest for herself, how many pens and pencils did she have left?
[Answer]Catherine gave eight pens to each of her seven friends, a total of 8 * 7 = 56 pens. She remained with 60 - 56 = 4 pens. When she also gave 6 pencils to each of her seven friends, she gave away 6 * 7 = 42 pencils. Since she had the same number of pencils as pens, she remained with 60 - 42 = 18 pencils. The total number of pens and pencils that Catherine remained with is 4 + 18 = 22. The answer is 22.
Q: 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?
A: 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: Charley has a bag that contains 51 white beads and 90 black beads. He reaches in the bag and pulls out 1/6 of the black beads and a third of the white beads. How many beads in total did Charley pull out?
Answer:
Charley pulled out 90 / 6 = 15 black beads. Charley pulled out 51 / 3 = 17 white beads. Charley pulled out 15 + 17 = 32 beads in total. The answer is 32.