[Question]Joseph has a refrigerator, a water heater in his house, and an electric oven that consumes power at different rates. The total amount of money that Joseph pays for the energy used by the refrigerator is three times the amount he pays for the power used by the water heater. If the electric oven uses power worth $500 in a month, twice what Joseph pays for the power the water heater uses, calculate the total amount he pays for the power used by these gadgets.
[Answer]If the electric oven uses power worth $500 in a month, twice what Joseph pays for the power the water heater uses, Joseph pays 1 / 2 * $500 = $250 for power used by the water heater. The total amount of money that Joseph pays for the power used by the water heater and the electric oven is $250 + $500 = $750. The total amount of money that Joseph pays for the energy used by the refrigerator is three times the amount he pays for the power used by the water heater, a total of 3 * $250 = $750. For the three gadgets, Joseph pays $750 + $750 = $1500 for the power they use. The answer is 1500.
Q: Jake has 3 snakes. Each of them lays 2 eggs. Most of the baby snakes sell for $250 but one super rare one costs 4 times as much. How much did he get from selling the snakes?
A: He has 3 * 2 = 6 baby snakes. So 6 - 1 = 5 sell for $250 each. So those snakes sell for 5 * $250 = $1250. The other snake sells for $250 * 4 = $1000. So in total, the snakes sold for $1250 + $1000 = $2250. The answer is 2250.
Question: In a math contest, Riley and Ofelia are on one team. The team's final score is obtained by adding the scores of the students of the same team. Out of the 35 questions, Riley got 3 mistakes while Ofelia got 5 more than half the score of Riley. How many incorrect answers did their team get?
Answer: Riley's score is 35 - 3 = 32. Half of Riley's score is 32 / 2 = 16. So Ofelia's score is 16 + 5 = 21. Hence, Ofelia got 35 - 21 = 14 incorrect answers. Therefore, their team got 3 + 14 = 17 incorrect answers. The answer is 17.
[Question]Barry wants to make a huge salad using only cucumbers and tomatoes. He will use a total of 280 pieces of vegetables. If there are thrice as many tomatoes as cucumbers, how many cucumbers will be used in the salad?
[Answer]Let c be the number of cucumbers and t the number of tomatoes. The total is the sum of the number of cucumbers and that of tomatoes, which is c + t = 280 piece of vegetables. Since there are thrice as many tomatoes as cucumbers, this means c = t / 3. Therefore 3 * c = t. The sum will therefore be c + 3 * c = 280 pieces of vegetables. This means that 4 * c = 280 vegetables. Therefore c = 280 / 4 = 70 cucumbers. The answer is 70.
Q: Half of Jerome's money was $43. He gave $8 to Meg and thrice as much to Bianca. How much does Jerome have left?
A: Jerome has $43 x 2 = $86. After giving Meg $8, he had only $86 - $8 = $78 left. Then he gave Bianca $8 x 3 = $24. So, Jerome has only $78 - $24 = $54 left. The answer is 54.
Question: The swimming club went to a swim meet in another town. They took 2 cars and 3 vans. There were 5 people in each car and 3 people in each van. Each car can hold a maximum of 6 people and each van can hold a maximum of 8 people. How many more people could have ridden with the swim team?
Answer:
The available number of people in each car is 6 * 2 cars = 12 people. The available number of people in each van is 8 * 3 vans = 24 people. The total number of people that could go with the team is 12 people + 24 people = 36 people. The team took with them 2 cars * 5 people = 10 people. The team also took 3 vans * 3 people = 9 people. The team brought 10 people + 9 people = 19 people. The team could bring an additional 36 people - 19 people = 17 people. The answer is 17.