Q: Jenny and Mark are throwing bottle caps. Jenny's bottlecap flies 18 feet straight, then bounces off a street light and flies another 1/3 of the distance it already went. Mark's bottle cap flies 15 feet forward, then bounces off a window and flies twice as far as it already did. How much further did Mark's bottle cap go than Jenny's?
A: First find 1 / 3 of the distance Jenny's bottlecap went straight: 18 feet / 3 = 6 feet. Then add that to the distance it flew straight to find the total distance it traveled: 6 feet + 18 feet = 24 feet. Then find twice the distance Mark's bottlecap went straight: 15 feet * 2 = 30 feet. Then add that distance to the distance it flew straight to find the total distance it traveled: 30 feet + 15 feet = 45 feet. Then subtract the distance Jenny's bottlecap traveled from the distance Mark's traveled to find the difference: 45 feet - 24 feet = 21 feet. The answer is 21.
Question: Tom's brother is 4 times as old as Tom's dog. If in 6 years, Tom's brother will be 30 years, how old is Tom's dog going to be in six years?
Answer: If in six years Tom's brother will be 30 years old, he is currently 30 - 6 = 24 years old. Since Tom's brother is 4 times as old as Tom's dog, Tom's dog is 24 / 4 = 6 years old currently. Tom's dog will be 6 + 6 = 12 years old in six years. The answer is 12.
[Question]Mark is a lawyer who works at the county courthouse every day. It takes him 5 minutes to find parking and 3 minutes to walk into the courthouse. 2 days of the week it takes him 30 minutes to get through the metal detector and the other 3 days are less crowded so he gets through in 10 minutes. How long does he spend on all these activities in a week with 5 work days?
[Answer]First find how long Mark spends on parking and walking each day: 5 minutes + 3 minutes = 8 minutes. Then multiply that number by his number of workdays to find the total walking and parking time: 8 minutes / day * 5 days / week = 40 minutes / week. Then multiply the number of long - wait days by the time of each long wait: 2 days / week * 30 minutes / day = 60 minutes / week. Then multiply the number of short - wait days by the time of each short wait: 3 days / week * 10 minutes / day = 30 minutes / week. Then add the length of time Mark spends on each activity to find the total time spent: 30 minutes / week + 60 minutes / week + 40 minutes / week = 130 minutes / week. The answer is 130.
Q: In a Math competition, Sammy scored 20 points, Gab scored twice as many as Sammy's score, while Cher scored twice as many as Gab's score. If their opponent scored 85 points, how many more points do they have than their opponent?
A: Gab scored 20 x 2 = 40 points. Cher scored 40 x 2 = 80 points. Their team scored 20 + 40 + 80 = 140 points. Therefore, they scored 140 - 85 = 55 more points than their opponent. The answer is 55.
Question: A retailer sells any shirt for the same price and any pair of pants for the same price, but the price of shirts and pants are not the same. Say you bought 2 shirts and 3 pairs of pants for $120 in total, then you realized you didn't need the extra pants. What's the price of 1 shirt at this place if when you returned all 3 pairs of pants you were refunded 25% of what you originally paid?
Answer: If I paid $120 and I was refunded 25% for all the 3 pants, then that means I received 25% * 120 = $30. This means the total price of the 2 shirts was 120 - 30 = 90. The price of one shirt is thus 90 / 2 = 45. The answer is 45.
Q: Jackson has 5 times more money than Williams. Together, they have $150. How much money, in dollars, does Jackson have?
A:
Let x be the amount of money Williams has. Jackson has 5 * x dollars. 5 * x + x = 150. 6 * x = 150. x = 25. Jackson has 25 * 5 = 125 dollars. The answer is 125.