Q: A pumpkin patch allows people to come pick pumpkins to carve in the fall every year. They charge $3 per person for a pumpkin. The remaining pumpkins get turned into cans of pie filling, 3 pumpkins to a can. They grew 83 pumpkins this year and made $96 selling pumpkins for carving. How many cans of pie filling will the pumpkin patch produce?
A: The pumpkin patch sold 96 / 3 = 32 pumpkins. They have 83 - 32 = 51 pumpkins left. Thus, the pumpkin patch will produce 51 / 3 = 17 cans of pie filling. The answer is 17.
Question: While shopping, Greg spent 300$ on a shirt and shoes. If Greg spent 9 more than twice as much on shoes as he did a shirt, how much did Greg spend on a shirt?
Answer: Let x be the amount spent on a shirt. Greg spent 2x + 9 dollars on shoes. 300 = x + (2x + 9). 300 = 3x + 9. 291 = 3x. x = 97$. Greg spent 97$ on a shirt. The answer is 97.
[Question]The vending machine fails to drop a snack when it's purchased one in six times. One in ten times, it will accidentally drop two snacks. The rest of the time, it drops the purchased snack. If thirty people have used the vending machine once each to purchase a snack, how many snacks has the vending machine dropped?
[Answer]The vending machine has been used 30 times, so it has failed to drop a snack 30 / 6 = 5 times. The vending machine has dropped 2 snacks 30 / 10 = 3 times. It has operated normally and dropped 1 snack 30 - 5 - 3 = 22 times. Thus, the vending machine has dropped 22 + 3 * 2 = 22 + 6 = 28 snacks in thirty uses. The answer is 28.
Q: Toby is making toast and adding peanut butter to it. He wants to make sure he has 500 calories for breakfast. A piece of bread has 100 calories. A serving of peanut butter has 200 calories. If he has one piece of bread, how many servings of peanut butter should he add?
A: He needs 400 calories worth of peanut butter because 500 - 100 = 400. He needs 2 servings of peanut butter because 400 / 200 = 2. The answer is 2.
Question: Rene can finish reading 30 pages in 60 minutes. Lulu can read 27 pages in 60 minutes and Cherry can read 25 pages in 60 minutes. If they have been reading for 240 minutes now, how many pages have they finished reading in total?
Answer: Rene finished 30 x 4 = 120 pages in 240 minutes. Lulu finished 27 x 4 = 108 pages in 240 minutes. Cherry finished 25 x 4 = 100 pages in 240 minutes. Therefore they have finished a total of 120 + 108 + 100 = 328 pages in 240 minutes. The answer is 328.
Q: Mason is mixing up some salad dressing. He takes a bowl that holds 150 ml and fills it 2/3rds with oil and 1/3rd with vinegar. The oil weighs 5 g/ml and the vinegar weighs 4 g/ml. How many grams does the salad dressing weigh?
A:
First find how many ml of oil Mason adds by multiplying the volume of the bowl by the proportion filled with oil: 150 ml * 2 / 3 = 100 ml. Then repeat the process to find how many ml of vinegar he added: 150 ml * 1 / 3 = 50 ml. Now find the weight of the oil by multiplying the volume by the weight / volume ratio: 100 ml * 5 g / ml = 500 g. Do the same procedure with the weight and weight / volume ratio of the vinegar to find its weight: 50 ml * 4 g / ml = 200 g. Now add the weight of the oil and the vinegar to find the weight of the salad dressing: 500 g + 200 g = 700 g. The answer is 700.