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question:April, Natalia sold clips to 48 of her friends, and in May, she sold half as many clips. What is the total number of clips that Natalia sold in April and May combined?
answer:In April, Natalia sold clips to 48 friends. In May, she sold half as many clips, so she sold to 48/2 = 24 friends. The total number of clips she sold in April and May is 48 + 24 = 72. 72 The answer is: 72
question:Jodi and Vance are researching on a deserted island and have to stay on the island for a certain number of weeks to carry out their research. On their first expedition, they stayed for three weeks on the island. They spent two weeks more on the second expedition than they spent on their first expedition. They spent twice as many weeks on their last expedition as they spent on their second expedition. Calculate the total number of days they spent on the island on all the trips.
answer:On their first expedition, they stayed for three weeks, which is 3 * 7 = 21 days. On their second expedition, they spent two weeks more than their first expedition, so they spent 3 + 2 = 5 weeks on the island. This is 5 * 7 = 35 days. On their last expedition, they spent twice as many weeks as their second expedition, so they spent 5 * 2 = 10 weeks on the island. This is 10 * 7 = 70 days. Therefore, the total number of days they spent on the island on all the trips is 21 + 35 + 70 = 126 days. 126 The answer is: 126
question:Mrs. Anderson bought 2 bags of 3-pound bag of cat food and another 2 bags of dog food that each weigh 2 more pounds than each bag of cat food. There are 16 ounces in each pound. How many ounces of pet food did Mrs. Anderson buy?
answer:Each bag of cat food weighs 3 pounds, so 2 bags of cat food weigh 3 * 2 = 6 pounds. Each bag of dog food weighs 2 more pounds than each bag of cat food, so each bag of dog food weighs 3 + 2 = 5 pounds. Therefore, 2 bags of dog food weigh 5 * 2 = 10 pounds. In total, Mrs. Anderson bought 6 + 10 = 16 pounds of pet food. There are 16 ounces in each pound, so Mrs. Anderson bought 16 * 16 = 256 ounces of pet food. 256 The answer is: 256
question:For a positive integer x that is less than 100, how many solutions does the congruence x + 13 equiv 55 pmod{34} have?
answer:The congruence x + 13 equiv 55 pmod{34} is equivalent to x equiv 42 pmod{34}. To find the solutions, we look for positive integers x such that x = 34k + 42 for some integer k. Since x must be less than 100, we can check the values of k that satisfy 34k + 42 < 100. We find that k = 0, 1, 2 satisfy this inequality, so there are boxed{3} solutions. The answer is: 3