Question: Issac has to buy pens and pencils for the upcoming school year. Issac buys 108 writing utensils total. He buys 12 more than 5 times the number of pencils than pens. How many pens did Issac buy?
Answer: Let x be the number of pens bought. He bought 12 + 5x pencils. x + (12 + 5x) = 108. 6x + 12 = 108. 6x = 96. x = 16 pens. The answer is 16.
[Question]At a bus station, a bus leaves every half-hour for 12 hours a day. How many buses leave the station for 5 days?
[Answer]If one bus leaves every half - hour, then during one hour, there are 1 + 1 = 2 buses that leave the station. During 5 days 2 * 12 * 5 = 120 buses leave the station. The answer is 120.
Q: The half-hour newscast includes 12 minutes of national news, 5 minutes of international news, 5 minutes of sports, and 2 minutes of weather forecasts. The rest is advertisements. How many minutes of advertising are in the newscast?
A: 12 + 5 + 5 + 2 = 24 minutes are accounted for. There are 30 - 24 = 6 minutes of ads. The answer is 6.
Question: Tom swims for 2 hours at a speed of 2 miles per hour. He then runs for half the time at 4 times the speed. How many miles did he cover?
Answer: He swam 2 * 2 = 4 miles. He ran for 2 / 2 = 1 hour. His running speed was 2 * 4 = 8 mph. So he ran 8 * 1 = 8 miles. So his total distance was 8 + 4 = 12 miles. The answer is 12.
[Question]Stella and Twinkle are filling up a truck with a capacity of 6000 stone blocks at the rate of 250 blocks per hour per person. They work for four hours and are then joined by 6 other people who also work at the same rate. How many hours did filling the truck take?
[Answer]Stella and Twinkle filled up the truck at the rate of 250 blocks per hour per person, a total of 2 * 250 = 500 blocks per hour for both. After working for four hours, Stella and Twinkle had filled 4 * 500 = 2000 blocks into the truck. The number of blocks they had to put into the truck for it to be full is 6000 - 2000 = 4000. When 6 more people joined Stella and Twinkle, a total of 2 + 6 = 8 people were filling the truck now. Working at the rate of 250 blocks per person, the eight people filled the truck with 250 * 8 = 2000 blocks in one hour. If there were 4000 blocks that still needed to be put into the truck, the 8 people took 4000 / 2000 = 2 hours to fill the truck with the blocks. The total time it took to fill up the tank is 4 + 2 = 6 hours. The answer is 6.
[Question]Jaylen’s dog eats 1 cup of dog food in the morning and 1 cup of dog food in the evening. If she buys a bag that has 32 cups of dog food, how many days can she feed her dog with it?
[Answer]
Every day, Jaylen’s dog eats 1 x 2 = 2 cups of dog food. The bag will feed her dog for 32 / 2 = 16 days. The answer is 16.