[Question]A vegan restaurant serves three kinds of protein: seitan, beans, and lentils. There are ten dishes on their menu. Two have beans and lentils, and two have beans and seitan. The remaining dishes only have one kind of protein in them. Half of the remaining dishes have only beans, and there are three times as many dishes with only beans as with only seitan. How many dishes include lentils?
[Answer]The vegan restaurant serves 10 - 2 - 2 = 6 dishes with only one kind of protein. There are 6 / 2 = 3 dishes with only beans. There is 3 / 3 = 1 dish with only seitan. Thus, there are 6 - 3 - 1 = 2 dishes with only lentils. There are also 2 dishes with beans and lentils, so there are 2 + 2 = 4 dishes that include lentils. The answer is 4.
Q: Christine and Rachel went strawberry picking. They want to make pies and need 3 pounds of strawberries per pie. Christine picked 10 pounds of strawberries and Rachel picked twice as much as Rachel. Together, how many pies can they make?
A: Christine picked 10 pounds and Rachel picked twice as much, so Rachel picked 10 * 2 = 20 pounds of strawberries. Christine picked 10 pounds and Rachel picked 20 pounds for a combined total of 10 + 20 = 30 pounds of strawberries. They need 3 pounds of strawberries to make 1 pie and they have 30 pounds so they can make 30 / 3 = 10 strawberry pies. The answer is 10.
Question: Patrick buys a season pass for each of his sons to visit the local amusement park as often as they want. The passes were $100.00 each. The oldest son went to the park 35 times over the summer and the youngest went 15 times. What was the cost per trip to the park?
Answer: Patrick bought 2 tickets at $100.00 each for a total of 2 * 100 = $200.00. The oldest son went 35 times and the youngest went 15 times for a total of 35 + 15 = 50 trips. The tickets cost $200.00 and together, the boys went to the park 50 times so each trip cost 200 / 50 = $4.00. The answer is 4.
[Question]In a store, there are three types of cheese: white, swiss, and blue cheese. Each cheese is packaged, and there are 200 grams of cheese in each package. The package prices are $5 for white cheese, $6 for swiss cheese, and $8 for blue cheese. Miley needed to get some for her party, and she decided to buy 5 packs of swiss cheese, 600 grams of blue cheese, and one-third less white cheese. How much did she need to pay for all the cheese?
[Answer]For the swiss cheese, Miley paid 5 * 6 = $30. 600 grams of blue cheese means 600 / 200 = 3 packages. So for the blue cheese, Miley paid 3 * 8 = $24. One - third of the blue cheese means 1 / 3 * 600 = 200 grams. So Miley bought only 600 - 200 = 400 grams of white cheese. Which means 400 / 200 = 2 packages. So for the white cheese, Miley paid 2 * 5 = $10. So in total for all the cheese, Miley paid 30 + 24 + 10 = $64. The answer is 64.
Q: About 450 000 people lived in Maryville in 2000. In 2005, about 467 000 people lived in Maryville. What is the average number of people added each year?
A: The total increase of people was counted in 2005 - 2000 = 5 years. In 5 years, there is a total of 467 000 - 450 000 = 17 000 people increase. So, each year, the average number of people added is 17 000 / 5 = 3 400. The answer is 3400.
Question: Dean ordered 2 large pizzas that were each cut into 12 slices. His friends Frank and Sammy came over to enjoy some pizza and watch a movie. Dean was hungry and ate half of the Hawaiian pizza. Frank only ate 3 slices of Hawaiian pizza and Sammy ate a third of the cheese pizza. How many total slices were left over?
Answer:
2 pizzas were ordered and had 12 slices each for a total of 2 * 12 = 24 slices. Dean ate 1 / 2 of a 12 sliced pizza so 12 / 2 = 6 slices were left over. Sammy ate 1 / 3 of a 12 sliced pizza so 12 / 3 = 4 slices were left over. Dean ate 6 slices, Sammy ate 4 and Frank had 3 so 6 + 4 + 3 = 13. They started with 24 slices and 13 slices so 24 - 13 = 11 slices left. The answer is 11.