Question: Ravi can jump higher than anyone in the class. In fact, he can jump 1.5 times higher than the average jump of the three next highest jumpers. If the three next highest jumpers can jump 23 inches, 27 inches, and 28 inches, how high can Ravi jump?
Answer: The total height the next three highest can jump is 78 inches because 23 + 27 + 28 = 78. The average height they can jump is 26 inches because 78 / 3 = 26. Ravi can jump 39 inches high because 26 x 1.5 = 39. The answer is 39.
[Question]The largest room in Mrs. McAvoy's house is 45 feet wide and 30 feet long. The smallest room in that same house is 15 feet wide and 8 feet long. What is the difference in area between the largest room and the smallest room?
[Answer]The area of the largest room is 45 ft x 30 ft = 1350 sq ft. The area of the smallest room is 15 ft x 8 ft = 120 sq ft. The difference between the two is 1350 sq ft - 120 sq ft = 1230 sq ft. The answer is 1230.
Q: In a week, 450 cars drove through a toll booth. Fifty vehicles went through the toll booth on Monday and the same number of vehicles drove through the toll booth on Tuesday. On each of Wednesday and Thursday, twice the number of cars that passed through the toll booth on Monday went through the toll booth. If, for the remaining of the days of the week, an equal number of vehicles passed through the toll booth, calculate the total number of cars that passed the toll both in each of the remaining days.
A: There were 50 + 50 = 100 cars that went through the toll booth on Monday and Tuesday. On Wednesday, the number of cars that went through the toll booth is 2 * 50 = 100. The exact number of cars passed through the toll booth on Thursday as Wednesday, giving a total of 100 + 100 = 200 vehicles going through the toll booth in the two days. There were 200 + 100 = 300 cars that passed through the toll booth from Monday to Thursday. If the total number of cars passed through the toll booth in the week was 450, then 450 - 300 = 150 vehicles went through the toll booth on the remaining days. Since there were an equal number of cars in the toll booth on each of the remaining days, there were 150 / 3 = 50 cars on each day. The answer is 50.
Question: Teresa is 59 and her husband Morio is 71 years old. Their daughter, Michiko was born when Morio was 38. How old was Teresa when she gave birth to Michiko?
Answer: The difference in age between Teresa and Morio is 71 - 59 = 12 years. When their daughter is born, Teresa is 38 - 12 = 26 years old. The answer is 26.
[Question]Tapanga and Corey have 66 candies together. However, Tapanga has 8 more candies than Corey. How many candies does Corey have?
[Answer]Let x = the total number of candies Corey has. x + 8 = the total number of candies Tapanga has. The equation for the total number of candies is x + (x + 8) = 66. Combining like terms, we get 2x + 8 = 66. Subtracting 8 from both sides, we get 2x = 58. Dividing both sides by 2, we get x = 29, so Corey has 29 candies. The answer is 29.
[Question]Between them, Mark and Sarah have 24 traffic tickets. Mark has twice as many parking tickets as Sarah, and they each have an equal number of speeding tickets. If Sarah has 6 speeding tickets, how many parking tickets does Mark have?
[Answer]
First figure out how many total speeding tickets the two people got by adding the 6 speeding tickets Sarah got to the equal number (6) that Mark got: 6 + 6 = 12. Now subtract the combined number of speeding tickets from the total number of tickets to find the combined number of parking tickets: 24 - 12 = 12. Now express Mark's number of parking tickets in terms of the number of parking tickets Sarah got: m = 2s. We know that m + s = 12, so substitute in the value of m from the previous step to get 2s + s = 12. Combine like terms to get 3s = 12. Divide both sides of the equation to get s = 4. Now multiply the number of parking tickets Sarah got by 2 to find the number Mark got: 4 * 2 = 8. The answer is 8.