[Question]In a big box, there are marbles in 4 colors. Inside, there are 20 red marbles. There are three times more green marbles than red. Yellow marbles make up 20% of the green marbles. How many marbles are of a different color if the total of all marbles in the box is three times more than the number of green marbles?
[Answer]There are 3 * 20 = 60 green marbles. There are 60 * 20 / 100 = 12 yellow marbles. In total there are 3 * 60 = 180 marbles. That leaves 180 - 20 - 60 - 12 = 88 marbles of another color in the box. The answer is 88.
Q: Mark and his sister Chris both leave their house for school at the same time. Mark travels at the same speed as Chris, who walks 3 miles per hour. After walking 3 miles Mark has to turn around and go home because he forgot his lunch. If the distance from their house to the school is 9 miles, how much longer does Mark spend walking than Chris?
A: First find the total number of miles Mark walks to get his lunch by multiplying the distance he walks back to the house by 2: 3 miles * 2 = 6 miles. Then find the total distance Mark walks by adding that distance to the distance between the house and the school: 6 miles + 9 miles = 15 miles. Now divide the total distance Mark walks by his speed to find how many hours he spends walking: 15 miles / 3 miles / hour = 5 hours. Now divide the total distance Chris walks by her speed to find the total time she spends walking: 9 miles / 3 miles / hour = 3 hours. Now subtract the time Chris spends walking from the time Mark spends walking to find the difference: 5 hours - 3 hours = 2. The answer is 2.
Question: Larry spends half an hour twice a day walking and playing with his dog. He also spends a fifth of an hour every day feeding his dog. How many minutes does Larry spend on his dog each day?
Answer: Larry spends 30 * 2 = 60 minutes per day walking his dog. Larry spends 60 / 5 = 12 minutes every day feeding his dog. Larry spends 60 + 12 = 72 minutes per day on his dog. The answer is 72.
[Question]25% of oysters have pearls in them. Jamie can collect 16 oysters during each dive. How many dives does he have to make to collect 56 pearls?
[Answer]First find how many pearls Jamie collects per dive by multiplying the number of oysters by the chance each oyster has a pearl: .25 pearls / oyster * 16 oysters / dive = 4 pearls / dive. Then divide the number of pearls he wants by the number of pearls per dive to find the number of dives: 56 pearls / 4 pearls / dive = 14 pearls / dive. The answer is 14.
Q: A school is getting ready to open for the year and the sports class is organizing the equipment they have been donated. In total, they have 300 donations to organize. 60 of these were basketball hoops, half of which also had basketballs included as part of the donation. 120 pool floats were donated, but a quarter of these were damaged and were discarded before the sports class arrived. There were 50 footballs, 40 tennis balls, and the remaining donations were basketballs. In total, how many basketballs have been donated?
A: Some of the pool floats were damaged, which means that 120 / 4 = 30 pool floats were discarded. This left the class with 120 – 30 = 90 pool floats that were actually part of the donations they need to organize. This means there were a total of 60 basketball hoops + 90 pool floats + 50 footballs + 40 tennis balls = 240 donations that were not basketballs. So out of the donations, there were 300 donations – 240 = 60 basketballs. In addition, half of the basketball hoops were donated with a basketball included which amounts to 60 basketball hoops / 2 = 30 basketballs. There was therefore a total of 60 + 30 = 90 basketballs donated. The answer is 90.
Question: The selling price of a bicycle that had sold for $220 last year was increased by 15%. What is the new price?
Answer:
The price of the bicycle increased by $220 * 15 / 100 = $33. Adding the increment price, the new price is $220 + $33 = $253. The answer is 253.