Q: In a studio audience of 100 people, 40% of these people have an envelope taped underneath their chairs. 20% of these people will have "You Won" in their envelope, the rest will have empty envelopes. How many people will win a prize?
A: 40% of the 100 studio audience will have an envelope under their chair so .40 * 100 = 40 people will find an envelope. 20% of these 40 people will find a "You Won" notice so only .20 * 40 = 8 people will win. The answer is 8.
Question: Carlos is doing his laundry. He needs to wash two loads, which takes 45 minutes per load. Then he can combine both loads and dry them, which takes 75 minutes. How long does his laundry take in total?
Answer: First multiply the number of loads by the time per load to find the washing time: 2 loads * 45 minutes / load = 90 minutes. Then add that time to the drying time to find the total laundry time: 90 minutes + 75 minutes = 165 minutes. The answer is 165.
[Question]There are 8 men at a yoga studio with an average weight of 190 pounds and 6 women with an average weight of 120 pounds. What is the average weight of all 14 men and women?
[Answer]The total weight for the 8 men is 8 men * 190 pounds per man = 1520 pounds. The total weight for the 6 women is 6 women * 120 pounds per woman = 720 pounds. The total weight for 14 men and women is 1520 pounds + 720 pounds = 2240 pounds. The average weight per person is 2240 pounds / 14 men and women = 160 pounds. The answer is 160.
Q: Gerald had 20 toy cars. He donated 1/4 of his toy cars to an orphanage. How many toy cars does Gerald have left?
A: Gerald gave away 20 x 1 / 4 = 5 of his toy cars. Therefore, he is left with 20 - 5 = 15 toy cars. The answer is 15.
Question: Kendra tracks the different species of birds they spot on their birdwatching trip. On Monday they visited 5 sites and saw an average of 7 birds at each site. On Tuesday, Kendra visited 5 sites and saw an average of 5 birds at each site. On Wednesday visited 10 sites and saw an average of 8 birds at each site. On average, how many different birds did Kendra see on each site?
Answer: On Monday Kendra saw 5 sites x 7 birds / site = 35 different birds. On Tuesday Kendra saw 5 sites x 5 birds / site = 25 different birds. On Wednesday Kendra saw 10 sites x 8 birds / site = 80 different birds. In total Kendra saw 35 birds + 25 birds + 80 birds = 140 different birds. In total Kendra visited 5 sites + 5 sites + 10 sites = 20 sites. On average Kendra saw 140 birds / 20 sites = 7 different birds at each site. The answer is 7.
Q: A bag of pistachios has 80 pistachios in it. 95 percent have shells, and 75 percent of those have shells that are opened. How many pistachios in the bag have shells and have an opened shell?
A:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Shells:80(.95) = 76. Opened Shells:76(.75) = 57. The answer is 57.