[Question]Oscar wants to train for a marathon. He plans to add 2/3 of a mile each week until he reaches a 20-mile run. How many weeks before the marathon should he start training if he has already run 2 miles?
[Answer]Oscar needs to increase his maximum running time from 20 - 2 = 18 miles. Oscar will need a total of 18 / ( 2 / 3 ) = 27 weeks to prepare. The answer is 27.
Q: The file, 90 megabytes in size, downloads at the rate of 5 megabytes per second for its first 60 megabytes, and then 10 megabytes per second thereafter. How long, in seconds, does it take to download entirely?
A: The first 60 megabytes take 60 / 5 = 12 seconds. There are 90 - 60 = 30 remaining megabytes. The remaining 30 megabytes take 30 / 10 = 3 seconds. And 12 + 3 = 15 seconds. The answer is 15.
Question: James and Ali together own $250. If you know that James owns $40 more than Ali, then calculate the amount owned by James.
Answer: Let X be the amount owned by James. The amount owned by Ali is X - $40. The total amount owned by both of them X + (X - $40) = $250. Combining like terms, we get X * 2 - $40 = $250. Adding $40 to both sides, we get X * 2 = $290. Dividing both sides by 2, we get X = $145. The answer is 145.
[Question]Pete has a bag with 10 marbles. 40% are blue and the rest are red. His friend will trade him two blue marbles for every red one. If Pete keeps 1 red marble, how many total marbles does he have after trading with his friend?
[Answer]He starts with 4 blue marbles because 10 x .4 = 4. 60% of the marbles are red because 100 - 40 = 60. He has 6 red marbles because 10 x .6 = 6. He trades 5 red marbles because 6 - 1 = 5. He gets 10 blue marbles because 5 x 2 = 10. He has 15 marbles now because 4 + 1 + 10 = 15. The answer is 15.
Q: Aria has twice as many high school credits as Emily, who has twice the number of high school credits as Spencer. If Emily has 20 credits, what's twice the total number of high school credits the three have?
A: If Emily has 20 credits, and Aria has 2 times as many, then Aria has 2 * 20 = 40 high school credits. Emily has twice the number of high school credits Spencer has, meaning Spencer has 20 / 2 = 10 high school credits. Altogether, the three have 40 + 20 + 10 = 70 high school credits. Twice the total number of high school credits the three have is 2 * 70 = 140. The answer is 140.
Question: There were students from three different schools taking part in a debate organized by the town's mayor on a stage. The first school had twice as many students as the second school, and the second school had 40 more students than the third school. If the third school had 200 students, and after the debate was over, every student shook the mayor's hand, calculate the total number of students who shook the mayor's hand on the stage.
Answer:
If the third school had 200 students, and the second school had 40 more students than the third school, the second school had 200 + 40 = 240 students. The third and second schools had 240 + 200 = 440 students on stage taking part in the debate. Since the first school had twice as many students as the second school, and the second school had 240 students, the first school had 240 * 2 = 480 students on stage taking part in the debate. If after the debate was over, every student at the stage shook the mayor's hand, the number of students who shook the mayor's hand is 480 + 440 = 920 students. The answer is 920.