Q: Bobby needs to buy a new pair of fancy shoes. He decides to go to a cobbler and get them handmade. The cobbler charges $250 to make the mold. He then charges $75 an hour for 8 hours to make the shoes. The cobbler agrees to only charge 80% of the cost for work to make the shoes, since it is his first pair of shoes. How much did Bobby pay?
A: The cost of labor is 75 * 8 = $600. So Bobby pays 600 * .8 = $480. So that means Bobby pays 480 + 250 = $730. The answer is 730.
Question: Amiyah is cutting some trees to build a cow shade. For every tree she cuts, she plants 5 new trees. If there were 400 trees on her farm and she cut 20% of them, calculate the total number of trees on the farm.
Answer: The number of trees that Amiyah cut is 20 / 100 * 400 = 80. The number of trees remaining on the farm after she cut 80 trees is 400 - 80 = 320. For every tree that Amiyah cut, she plants 5 new trees, and since she cut 80 trees, she planted 80 * 5 = 400 new trees. The total number of trees on the farm is now 320 + 400 = 720 trees. The answer is 720.
[Question]Prejean's speed in a race was three-quarters that of Rickey. If they both took a total of 70 minutes to run the race, calculate the total number of minutes that Rickey took to finish the race.
[Answer]Let's say Rickey took t minutes to finish the race. If Prejean's speed in the race was three - quarters that of Rickey, and Rickey took t minutes to finish the race, the time that Prejean took to finish the race is 3 / 4 * t = 3 / 4t. Together, Rickey and Prejean took t + 3 / 4t = 70. They took 1 3 / 4 t hours = 70 to finish the race. This is 7 / 4t = 70. t = 70 * 4 / 7. The time that Rickey took to finish the race is t = 40 minutes. The answer is 40.
Q: A man decides to try and do everything off his bucket list while he is still young and fit enough to finish it all. One of his goals was to climb the seven summits. He realizes first he has to get in shape to do it and it takes him 2 years of working out to get healthy enough to take up mountain climbing. He then spends twice that long learning how to be a technically proficient mountain climber. After that he starts with the simplest mountain on the list and climbs them all. He spends 5 months climbing each mountain. After that he takes 13 months learning to dive and dives through all the caves he wants in 2 years. How much time did it take to get through all these goals?
A: He spent 2 * 2 = 4 years learning to climb. He spends 5 * 7 = 35 months climbing all 7 mountains. After a 13 month break, he starts diving so that is 35 + 13 = 48 months. That means it is 48 / 12 = 4 years. So in total it all took 2 + 4 + 4 + 2 = 12 years. The answer is 12.
Question: The spacecraft Gibraltar is a mountain-sized intergalactic vehicle for transporting equipment, building materials, and families to establish colonies on far-away planets. At full capacity, the vehicle can carry 300 family units with four people per family. The space flight is expected to take years, and it is expected that the size of families will grow during the space voyage. Therefore, when the spacecraft leaves the earth, it will carry 100 people less than one-third of the ship's capacity. How many people will be on the ship to start the journey?
Answer: The full capacity of the ship is 300 * 4 = 1200 people. One - third of capacity is 1200 / 3 = 400 people. 100 less than one - third capacity is 400 - 100 = 300 people. The answer is 300.
Q: A river is to be used for a boat race. If each boat is 3 feet across and they must have at least 2 feet between them or the riverbank, how many boats can race in a river that is 42 feet across?
A:
Each boat will require 3 feet across to fit itself and 2 feet space on one side for a total of 2 + 3 = 5 feet per boat. The last boat will need an additional 2 feet space on its other side, so this 2 feet should be subtracted first from the 42 feet which leaves 42 - 2 = 40 feet. 5 feet per boat on the remaining 40 feet for a total of 40 / 5 = 8 boats. The answer is 8.