[Question]A group of 30 tourists sets out on a walking tour of the rainforest. Two tourists are eaten by anacondas, then half the remaining tourists try to pet poisonous dart frogs and get poisoned. If only 1/7 of the poisoned tourists recovered, how many tourists are left at the end of the tour?
[Answer]First, subtract the two tourists the anacondas got from the initial 30 tourists: 30 - 2 = 28. Next, divide 28 by two to find out how many tourists got poisoned: 28 / 2 = 14. Now figure out how many of the 14 poisoned tourists recovered: 14 / 7 = 2. The total number of surviving tourists is 14 + 2 = 16. The answer is 16.
Q: Mrs. Young buys a 300 piece puzzle set for her three sons. She divides the pieces evenly to the three boys. Reyn can place 25 pieces into the puzzle picture. Rhys places twice as much as Reyn. Rory places three times as much as Reyn. Altogether, how many puzzle pieces are still left to be placed?
A: Each son receives 300 / 3 = 100 pieces. Rhys places 25 x 2 = 50 pieces. Rory places 25 x 3 = 75 pieces. All three boys place 25 + 50 + 75 = 150 pieces. The boys have not placed 300 - 150 = 150 pieces. The answer is 150.
Question: Rick took off on a road trip for the summer. He traveled to the first destination on his trip, and then from there, he traveled twice the distance to this second destination. The third point on his trip was 40 miles away, which was half the distance he traveled from the beginning to his first destination. The final destination took twice the amount of driving of all the other legs put together. How many miles in total did he travel across all the legs of the trip?
Answer: If the third leg of Rick's trip was half the distance of the first leg, was 40 miles, this means the first leg was 40 * 2 = 80 miles long. If the second leg of the trip was twice the distance of the first leg, that means it was 80 * 2 = 160 miles long. If the fourth leg was equal in distance to the total amount traveled across the first 3 legs, that means it was equal to 40 + 80 + 160 = 280 miles long. This means in total Rick traveled 280 + 280 = 560 miles. The answer is 560.
[Question]Mr. Alvarez spends $36 on diesel fuel each week. If the cost of diesel fuel is $3 per gallon, how many gallons of diesel fuel does Mr. Alvarez use in two weeks?
[Answer]In a week, Mr. Alvarez uses $36 / $3 = 12 gallons a week. So in two weeks, he uses 12 x 2 = 24 gallons. The answer is 24.
Q: In a basketball game, Jon scored 3 points. Jack scored 5 points more than Jon, and Tom scored 4 less than the points of Jon and Jack together. How many points did they score altogether?
A: Jack scored 3 + 5 = 8 points. Together, Jon and Jack scored 8 + 3 = 11 points. So, Tom scored 11 - 4 = 7 points. Thus, Jon, Jack, and Tom scored a total of 3 + 8 + 7 = 18 points. The answer is 18.
Question: The base of a hill located beside a river is 300m above the seabed. If this depth is a quarter of the vertical distance between the riverbed and the peak of the hill, how high is the hill?
Answer:
300m is a quarter of the distance from the riverbed to the hill's peak so (1 / 4) * distance from riverbed to peak = 300m. Multiplying both sides of the equation by 4 gives the distance from riverbed to peak = 300m * 4 = 1200m. The height of the hill is the difference between the distance from the riverbed to the hill's peak and the distance from the riverbed to the hill's base which is 1200m - 300m = 900m. The answer is 900.