[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: Mark and Peter dug ponds in their backyards. Mark's pond is 4 feet deeper than 3 times Peter's pond. If Mark's pond is 19 feet deep, what is the depth of Peter's pond?
A: Let's use p for the number of feet in Mark's pond. 3 * p + 4 = 19. 3 * p = 19 - 4 = 15. 3p = 15. p = 5. The answer is 5.
Question: A charity is delivering chicken and rice dinners to a shelter for the hungry. They have a hundred plates to deliver. The rice cost ten cents a plate and the chicken cost forty cents a plate. How many dollars did the charity spend on the food for the dinners?
Answer: Each chicken and rice plate cost 10 + 40 = 50 cents. The charity spent 50 * 100 = 5000 cents for the dinners. There are 100 cents in a dollar, so the charity spent 5000 / 100 = $50 for the dinners. The answer is 50.
[Question]Allie picked 44 wildflowers. Thirteen of the flowers were yellow and white, seventeen of the flowers were red and yellow, and 14 of the flowers were red and white. How many more flowers contained the color red than contained the color white?
[Answer]13 were yellow and white, and 14 red and white, for a total of 13 + 14 = 27 flowers containing the color white. 17 were red and yellow, and 14 were red and white, for a total of 17 + 14 = 31 flowers containing the color red. Thus, there were 31 - 27 = 4 more flowers that contained the color red than the color white. The answer is 4.
Q: Today Geoff bought 2 pairs of sneakers and spent $60 equally between the two. Tomorrow, he's going to spend 4 times as much on sneakers than he did on Monday. Wednesday, he'll spend 5 times as much on sneakers than he did on Monday. How much will Geoff spend on sneakers over these three days?
A: Tomorrow Geoff will spend 60 * 4 = 240 dollars. Wednesday Geoff will spend 60 * 5 = 300 dollars. Total spent in three days is 60 + 240 + 300 = 600 dollars. The answer is 600.
Question: Yulia was able to net $44 in profit this week. Her lemonade stand made a gross revenue of $47 this week. She was also able to babysit and made $31. However, her lemonade stand is expensive to run because she needs to buy lemons, sugar, and sunscreen. How much did she spend to operate her lemonade stand, in dollars?
Answer:
Yulia's total gross revenue was $47 + $31 = $78. To calculate her overhead we must subtract her total profit from her gross revenue which is $78 - $44 = $34. The answer is 34.