[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.
Q: A road has four intersections. At the first intersection, there are 40 road signs showing different types of information mounted on the street poles. At the second intersection, 1/4 times more road signs than the first intersection are mounted on the street poles. The number of road signs at the third intersection is twice the number at the second intersection. If at the fourth intersection the number of road signs is 20 fewer than those at the third intersection, calculate the total number of road signs at the four intersections.
A: There are 1 / 4 * 40 = 10 more road signs at the second intersection than the first intersection. This means there are 40 + 10 = 50 road signs at the second intersection. The total number of road signs at the first and second intersection is 50 + 40 = 90. The third intersection has twice the number of road signs at the second intersection, meaning there are 2 * 50 = 100 road signs. The total number of road signs at first to the third intersection is 90 + 100 = 190 road signs. At the fourth intersection, the number is 20 fewer than at the third intersection, meaning there are 100 - 20 = 80 road signs. All four road intersections have 190 + 80 = 270 road signs in total. The answer is 270.
Question: While reading about the history of different towns, Jared learned that Euston had 20 more carriages than Norfolk. Norwich had 100 carriages, and Flying Scotsman had 20 more carriages than Norwich. If Euston had 130 carriages, how many carriages are there in all?
Answer: If Flying Scotsman had 20 more carriages than Norwich, and Norwich had 100 carriages, then Flying Scotsman had 100 + 20 = 120 carriages. Together, Flying Scotsman and Norwich had 120 + 100 = 220 carriages. If Euston had 130 carriages, 20 more carriages than Norfolk, Norfolk had 130 - 20 = 110 carriages. Together, Euston and Norfolk had 110 + 130 = 240 carriages. Altogether, Euston, Norfolk, Norwich, and Flying Scotsman had 240 + 220 = 460 carriages. The answer is 460.
[Question]Elsa and her sister watch an opera show every year at Central City Opera. Last year, opera seating cost $85 per ticket. This year, it costs $102. What is the percent increase in the cost of each ticket?
[Answer]The ticket price increase is $102 - $85 = $17. So there is 17 / 85 x 100% = 20% increase of price. The answer is 20.
Q: Marla is mixing a particular shade of lilac that's 70% blue paint, 20% red paint, and the rest white paint. If she adds 140 ounces of blue paint, how many ounces of white paint does she add?
A: First find the total amount of paint Marla mixes by dividing the amount of blue paint by the percentage of the paint that's blue: 140 ounces / .7 = 200 ounces. Then multiply the total amount of paint by the percentage that's white to find the number of white ounces: 200 ounces * 10% = 20 ounces. The answer is 20.
Question: Peggy fell off her bike and skinned her knees. She needed two bandages on her left knee and three bandages on her right knee. If the box of bandages had 8 less than two dozen bandages before Peggy skinned her knees, how many bandages were left in the box after Peggy finished putting bandages on her knees?
Answer:
Two dozen is 12 * 2 = 24. Eight less than two dozen bandages is 24 - 8 = 16 bandages. She needed two bandages on her left knee and three bandages on her right knee for a total of 2 + 3 = 5 bandages. Therefore, after Peggy finished putting bandages on her knees there were 16 - 5 = 11 bandages remaining in the box. The answer is 11.