[Question]James burned his hand in a freak accident. It takes him 4 weeks to heal enough to get a skin graft. After that it takes him 50% longer than that to heal from the skin graft. How long did he take to recover from everything?
[Answer]The skin graft took 4 * .5 = 2 weeks longer to recover from than the previous. So that means it took 4 + 2 = 6 weeks to recover from it. That means he took 4 + 6 = 10 weeks to recover from everything. The answer is 10.
Q: Lizette scored 92 on her third quiz giving her an average of 94. What is Lizette's average in her first two quizzes?
A: If Lizette's average on the 3 quizzes is 94, then the sum of her scores in the 3 quizzes is 94 x 3 = 282. This means that the sum of her scores in the first 2 quizzes is 282 - 92 = 190. Thus, her average for the first 2 quizzes is 190 / 2 = 95. The answer is 95.
Question: Three-quarters of the oil from a 4000-liter tank (that was initially full) was poured into a 20000-liter capacity tanker that already had 3000 liters of oil. How many more liters of oil would be needed to make the large tanker half-full?
Answer: Three - quarters of oil from the initially full 4000 - liter tank would be 4000 * (3 / 4) = 3000 liters. In addition to the 3000 liters that were already in the large tanker, there are 3000 + 3000 = 6000 liters in it now. The tanker would be filled to half capacity by (1 / 2) * 20000 = 10000 liters of oil. There are 10000 - 6000 = 4000 liters left to reach half capacity. The answer is 4000.
[Question]Under standard growth conditions, the bacterial strain, E.coli, has a doubling time of 20 minutes.  If 1 single bacterial cell is used to start a culture grown under standard growth conditions, how many bacterial cells will there be after the culture is grown for 4 hours?
[Answer]4 hours is 4 * 60 = 240 minutes. If the doubling time is 20 minutes, then after 240 minutes, the number of bacteria would have doubled 240 / 20 = 12 times. Thus, starting with only 1 bacterial cell, after 4 hours, there will be 1 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 = 4,096 bacterial cells. The answer is 4096.
Q: Alex is saving up for a new car. He already has $14,500 saved up and the car costs $14,600. He decides that to make the last of the money he will deliver groceries for people in the neighborhood. He charges $1.5 per trip and then 5% of the price of the groceries. If he makes 40 trips and has saved up enough, how many dollars' worth of groceries did he deliver?
A: He needs to save up $100 because 14,600 - 14,500 = 100. He earned $60 off trips because 40 x 1.5 = 60. He earned $40 off groceries because 100 - 60 = 40. He delivered $800 in groceries because 40 / .05 = 800. The answer is 800.
Question: A 40 meters rope was cut into 2 parts in the ratio of 2:3. How long is the shorter part?
Answer:
The rope was cut into 2 + 3 = 5 parts. So each part is 40 / 5 = 8 meters long. Since the shorter part is consists of 2 parts, then it is 8 x 2 = 16 meters long. The answer is 16.