Question: Oliver has two bags of vegetables. Each bag weighs 1/6 as much as James’s bag, which weighs 18kg. What is the combined weight of both Oliver’s bags?
Answer: Each of Oliver’s bags weighs 18 kg * 1 / 6 = 3 kg. Combined, both his bags weigh 3 kg * 2 = 6 kg. The answer is 6.
[Question]Gina is participating in a neighborhood clean-up filling bags with litter. She was able to collect two bags of litter herself. The rest of the neighborhood together collected 82 times as much as Gina did by herself. Each bag of litter weighs 4 pounds. How many pounds was all the litter they collected?
[Answer]The rest of the neighborhood collected 82 * 2 = 164 bags of litter. With Gina’s bags, they had 164 + 2 = 166 bags of litter. Thus, the litter weighed 166 * 4 = 664 pounds. The answer is 664.
Q: A curry house sells curries that have varying levels of spice. Recently, a lot of the customers have been ordering very mild curries and the chefs have been having to throw away some wasted ingredients. To reduce cost and food wastage, the curry house starts monitoring how many ingredients are actually being used and changes their spending accordingly. The curry house needs 3 peppers for very spicy curries, 2 peppers for spicy curries, and only 1 pepper for mild curries. After adjusting their purchasing, the curry house now buys the exact amount of peppers they need. Previously, the curry house was buying enough peppers for 30 very spicy curries, 30 spicy curries, and 10 mild curries. They now buy enough peppers for 15 spicy curries and 90 mild curries. They no longer sell very spicy curries. How many fewer peppers does the curry house now buy?
A: The curry house previously bought 3 peppers per very spicy curry * 30 very spicy curries = 90 peppers for very spicy curries. They also bought 2 peppers per spicy curry * 30 spicy curries = 60 peppers for spicy curries. They also bought 1 pepper per mild curry * 10 mild curries = 10 peppers for mild curries. So they were previously buying 90 + 60 + 10 = 160 peppers. They now buy 2 peppers per spicy curry * 15 spicy curries = 30 peppers for spicy curries. They also now buy 1 pepper per mild curry * 90 mild curries = 90 peppers for mild curries. So they now buy 30 + 90 = 120 peppers. This is a difference of 160 peppers bought originally - 120 peppers bought now = 40 peppers. The answer is 40.
Question: One of the activities in Grade 6 PE class is to get the average weight of the students from each group. In one of the groups, the average weight of five girls is 45 kg while the average weight of five boys is 55 kg. What is the average weight of the ten students from that group?
Answer: The sum of the weights of the five girls is 45 kg x 5 = 225 kg. The sum of the weights of the five boys is 55 kg x 5 = 275 kg. The sum of the weights of the ten students is 225 kg + 275 kg = 500 kg. Hence, the average weight of those ten students is 500 kg / 10 = 50 kg. The answer is 50.
[Question]Michael has $42. Michael gives away half the money to his brother. His brother then buys 3 dollars worth of candy. If his brother has $35 left, how much money, in dollars, did his brother have at first?
[Answer]Michael gives away 42 / 2 = 21 dollars. Before buying candy, his brother has 35 + 3 = 38 dollars. His brother had 38 - 21 = 17 dollars at first. The answer is 17.
[Question]James buys 200 lotto tickets for 2 dollars each. Of those tickets 20% are winners. 80% of the winners are for 5 dollars. 1 ticket is the grand prize of $5,000. The other tickets win an average of $10. How much did he profit?
[Answer]
He spent 200 * 2 = $400. There were 200 * .2 = 40 tickets. Of those 40 * .8 = 32 are 5 dollar winners. So they win 32 * 5 = $160. He has 40 - 32 = 8 other winning tickets. Of those 8 - 1 = 7 wins $10. So they win 10 * 7 = $70. So he won 5000 + 70 + 160 - 400 = $4830. The answer is 4830.