[Question]A performing magician has a disappearing act where he makes a random member of his audience disappear and reappear. Unfortunately, one-tenth of the time, the audience member never reappears. However, one-fifth of the time, two people reappear instead of only one. If the magician has put on 100 performances of the act this year, how many people have reappeared?
[Answer]One - tenth of the time, no one reappears, so there have been 100 / 10 = 10 times no one has reappeared. One - fifth of the time, two people reappear, so there have been 100 / 5 = 20 times 2 people have reappeared. In those 20 times, 2 * 20 = 40 people have reappeared in all. Thus, there have been 100 - 10 - 20 = 70 times one person has reappeared. Therefore, over 100 acts, 70 + 40 = 100 people have reappeared in all. The answer is 110.
Q: Lizzy has to ship 540 pounds of fish that are packed into 30-pound crates. If the shipping cost of each crate is $1.5, how much will Lizzy pay for the shipment?
A: There are 540 pounds / 30 pounds / crate = 18 crates of fish needed. Hence, the total cost for the shipment is $1.5 / crate x 18 crates = $27. The answer is 27.
Question: Dilan, Martha, Phillip, and Veronica went to the park together to have some fun. They all had a different number of marbles: Dilan had 14 marbles, Martha had 20 marbles, Phillip had 19 marbles and finally, Veronica had only 7 marbles. They wanted to redistribute the marbles so they each had an equal number. How many marbles did each friend have at the end of the day?
Answer: First find the total numbers of marbles: 14 + 20 + 19 + 7 = 60 marbles. After sharing them equally each person will get 60 marbles / 4 people = 15 marbles / person. The answer is 15.
[Question]Michael wants to lose 10 pounds by June. He lost 3 pounds in March and 4 pounds in April. How much weight does he have to lose in May to meet his goal?
[Answer]In March and April, he lost 3 + 4 = 7 pounds. To meet his goal, he needs to lose 10 7 = 3 pounds. The answer is 3.
Q: Jameson has 20 medals. Five of the medals are for the track. He has two times as many swimming medals as track medals. The rest of the medals are for badminton. How many badminton medals does he have?
A: Jameson has 5 x 2 = 10 medals for swimming. He has a total of 5 + 10 = 15 medals for track and swimming. Thus, he has 20 - 15 = 5 medals for badminton. The answer is 5.
Question: A farmer is selling ducks and chickens at the market. He sells ducks for $10 and chickens for $8. He sells 5 chickens and some ducks. He then spends half his earnings on a new wheelbarrow. After buying it, someone sees it and agrees to pay the farmer double what the farmer paid and the farmer earns another $60. How many ducks did the farmer sell?
Answer:
The wheelbarrow cost $30 because 60 / 2 = 30. The farmer earned $60 from selling fowl because 30 / (1 / 2) = 60. The farmer earned $40 selling chickens because 5 x 8 = 40. The farmer earned $20 selling ducks because 60 - 40 = 20. The farmer sold 2 ducks because 20 / 10 = 2. The answer is 2.