Question: 5/8 of shoppers at All Goods Available store prefer to avoid the check-out line on weekends and instead go through the express lane. If the number of shoppers in the store is 480, calculate the number of shoppers who pay at the check-out lane.
Answer: At the store, 5 / 8 of shoppers prefer to avoid the check - out line, a total of 5 / 8 * 480 = 300. The total number of shoppers at the store is 480; those who prefer the check - out line is 480 - 300 = 180. The answer is 180.
[Question]Alex needs to be 54 inches tall to ride the newest roller coaster at the theme park. He is 48 inches tall this year. He hears a rumor that for every hour he hangs upside down, he can grow 1/12 of an inch. Normally he grows 1/3 of an inch per month. On average, how many hours does he need to hang upside down each month to be tall enough next year to ride the rollercoaster?
[Answer]He is 6 inches too short this year because 54 - 48 = 6. He will naturally grow 4 inches taller because 12 x (1 / 3) = 4. He needs to grow 2 inches from hanging because 6 - 4 = 2. He needs to hang for 24 hours because 2 / (1 / 12) = 24. He needs to hang for 2 hours a month because 24 / 12 = 2. The answer is 2.
Q: The area of square A is 25. The area of square B is 81. What's the length difference between the sides of square A and B?
A: The area of a square is calculated as length * width. Because all a square has all sides equal then we can say that given a side S, the area is S * S. For square A of sides A, the area is A * A = 25 or A^2 = 25. Solving for A we know that A = 5. For square B of sides B, the area is B * B = 81 or B^2 = 81. Solving for B we know that B = 9. The side difference between A and B is 9 - 5 = 4. The answer is 4.
Question: GiGi took out a big bowl of mushrooms from the refrigerator. She cut each mushroom into 4 pieces. Her twins, Kenny and Karla sprinkled mushrooms on their pizzas and baked them in the oven. Kenny grabbed a handful and sprinkled 38 mushroom pieces on his pizza. Karla scooped them up with both hands and sprinkled 42 mushroom pieces on her pizza. On the cutting board, were 8 pieces of mushrooms remaining. How many mushrooms did GiGi cut up at the beginning?
Answer: Kenny used 38 / 4 = 9.5 mushrooms on his pizza. Karla used 42 / 4 = 10.5 mushrooms on her pizza. Together, the twins used 9.5 + 10.5 = 20 mushrooms. There are 8 / 4 = 2 mushrooms left on the cutting board. GiGi cut up 20 + 2 = 22 mushrooms at the beginning. The answer is 22.
[Question]Ruth goes to school 8 hours a day and 5 days a week. She is in math class 25% of this time. How many hours per week does she spend in math class?
[Answer]She is in school for 40 hours because 5 x 8 = 40. She is in math class for 10 hours a week because 40 x .25 = 10. The answer is 10.
[Question]Dirk sells amulets at a Ren Faire. He sells for 2 days and each day he sells 25 amulets. Each amulet sells for 40 dollars and they cost him 30 dollars to make. If he has to give 10% of his revenue to the faire, how much profit did he make?
[Answer]
He sold 2 * 25 = 50 amulets. So he made 40 * 50 = $2000. The faire took 2000 * .1 = $200. So he kept 2000 - 200 = $1800. The amulets cost 50 * 30 = $1500 to make. So he had a profit of 1800 - 1500 = $300. The answer is 300.