[Question]Tom spends $250 to buy gems in a game he plays. The game gives 100 gems for each dollar you spend. Since he bought so many gems he got a 20% bonus of more gems. How many gems did he end up with?
[Answer]He bought 250 * 100 = 25000 gems. He got a 25,000 * .2 = 5,000 gem bonus. So he got a total of 25000 + 5000 = 30,000 gems. The answer is 30000.
Q: Paul is a chicken trader. One week he had 80 chickens in total to sell at the market. Before he left the farm, he sold his neighbor 12 chickens. At the gate, before the market opens, he got a quick customer and sold another 25 chickens. How many chickens was Paul left with to sell at the market?
A: Before the market opened, Paul sold 12 + 25 = 37 chickens. So he had 80 - 37 = 43 chickens left to sell at the market. The answer is 43.
Question: The difference between the ages of two friends is 2 years. The sum of their ages is 74 years. Find the age of the older friend.
Answer: Let X be the age of the older friend. The younger friend is X - 2 years old. So, the age of both is X + (X - 2) = 74. X + X = 74 + 2. 2 * X = 76. Then, the older friend is X = 38 years old. The answer is 38.
[Question]Flies are Betty's frog's favorite food. Every day the frog eats 2 flies. Betty puts the flies she finds in a bottle. In the morning Betty catches 5 flies inside a bottle, and in the afternoon she catches 6 more, but when she removes the lid, one escapes. Betty wants to gather the whole week's food for her frog. How many more flies does she need?
[Answer]The frog eats 2 flies / day * 7 days / week = 14 flies a week. Betty catches flies in the morning and in the afternoon, for a total of 5 flies + 6 flies = 11 flies. But 1 fly escapes, leaving 11 flies - 1 fly = 10 flies. To get her frog's food for the whole week, Betty needs 14 flies - 10 flies = 4 more flies. The answer is 4.
Q: At A.T. Cross Luxury Pens, a pencil sells at twenty-five cents while a pen sells at fifteen cents. Bowen buys 40 pens and 2/5 times more pencils than pens from A.T. Cross Luxury Pens. Calculate the total amount of money Bowen spends.
A: Bowen bought 2 / 5 * 40 pens = 16 more pencils than pens. The total number of pencils that he bought is 40 pencils + 16 pencils = 56 pencils. If each pencil costs twenty - five cents, the total amount of money he spent on pencils is 56 pencils * $0.25 / pencil = $14. On pens, Bowen spent $0.15 / pen * 40 pens = $6. The total amount of money Bowen spent is $14 + $6 = $20. The answer is 20.
Question: A party hall has 3 decorative light bulbs; a red light bulb which comes on every 2 seconds, a green one every 3 seconds and a blue one every 4 seconds. If they are put on at the same time, what is the shortest time after which the three bulbs will be on at the same time?
Answer:
The blue light bulb comes on every 2 seconds so it will be on after 2, 4, 6, 8, 10, 12, 14... seconds (multiples of 2). The red light bulb comes on every 3 seconds so it will be on after 3, 6, 9, 12, 15, 18... seconds (multiples of 3). The blue light bulb comes on every 4 seconds so it will be on after 4, 8, 12, 16, 20... seconds (multiples of 4). The shortest time after which all three will be on is 12 seconds which is the least common multiple of the set of multiples. The answer is 12.