Q: An avant-garde sushi house sells jellyfish for a certain amount and eel for nine times that amount. If the combined cost of one order each kind of sushi is $200, how much does the eel cost?
A: Let j be the cost of the jellyfish and e be the cost of the eel. We know that j + e = $200 and e = 9j. Substituting the second equation into the first equation, we get j + 9j = $200. Combining like terms, we get 10j = $200. Dividing both sides by 10, we get j = $20. Substituting this value back into e = 9j, we get e = 9 * $20 = $180. The answer is 180.
Question: Three years ago, Bethany was twice the age of her younger sister. In 5 years, her younger sister will be 16. How old is Bethany now?
Answer: First find how old Bethany's sister currently is: 16 years - 5 years = 11 years. Then find how old her sister was 3 years ago: 11 years - 3 years = 8 years. Then double that age to find how old Bethany was three years ago: 8 years * 2 = 16 years. Then add 3 years to that number to find how old Bethany is now: 16 years + 3 years = 19 years. The answer is 19.
[Question]Bob wants to build a pyramid out of legos with 3 levels where the bottom level has 7 legos per side and each level has one less lego per side than the level below it. How many legos total will he need?
[Answer]First find the total number of legos on the bottom layer: 7 legos * 7 legos = 49 legos. Then find the number of legos per side on the next layer: 7 legos - 1 lego = 6 legos. Then find the total number of legos on the second level: 6 legos * 6 legos = 36 legos. Then find the number of legos per side on the top level: 6 legos - 1 lego = 5 legos. Then find the total number of legos on the top level: 5 legos * 5 legos = 25 legos. Then add the number of legos on each level to find the total number of legos: 49 legos + 36 legos + 25 legos = 110 legos. The answer is 110.
Q: Annie does a survey of the sixth-grade classes to see who prefers pretzels to goldfish. In Miss Johnson's class, 1/6 of the students preferred goldfish. In Mr. Feldstein's class, 2/3rds of the students preferred goldfish. In Ms. Henderson's class, 1/5 of the students prefer goldfish. If each class has 30 students, how many people total prefer goldfish?
A: First find the number of students in Mr. Feldstein's class who prefer goldfish: 2 / 3 * 30 students = 20 students. Then find the number of students in Mr. Feldstein's class who prefer goldfish: 1 / 6 * 30 students = 5 students. Then find the number of students in Ms. Henderson's class who prefer goldfish: 1 / 5 * 30 students = 6 students. Then add the number of students from each class who prefer goldfish to find the total: 20 students + 5 students + 6 students = 31 students. The answer is 31.
Question: Hadassah took six hours to paint 12 paintings. What would be the total time she's taken to finish all the paintings if she paints 20 more paintings?
Answer: If it took Hadassah six hours to paint 12 paintings, then she paints 12 / 6 = 2 paintings in an hour. If two paintings take an hour to complete, 20 paintings will take 20 / 2 = 10 hours. The total time she took to finish all the paintings is 10 + 6 = 16 hours. The answer is 16.
Q: Haruto has tomato plants in his backyard. This year the plants grew 127 tomatoes. Birds had eaten 19 of the tomatoes. He picked the rest. If Haruto gave half of his tomatoes to his friend, how many tomatoes does he have left?
A:
After the birds ate 19 of the tomatoes Haruto has 127 - 19 = 108 tomatoes left. After giving half of his tomatoes to his friend, Haruto had 108 / 2 = 54 tomatoes. The answer is 54.