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question:f P(n) represents the product of the digits of the integer n and S(n) represents the sum of the digits of n, where n is a two-digit number, such that N = P(N) + S(N), what is the units digit of N?
answer:Since N = P(N) + S(N), the units digit of N is equal to the units digit of P(N) + S(N). The largest value that the product of the digits of a two-digit number can have is 9 times 9 = 81, and the largest value that the sum of the digits of a two-digit number can have is 9 + 9 = 18. So the largest possible value for P(N) + S(N) is 81 + 18 = 99, which means the units digit of N is boxed{9}. The answer is: 9
question:Caleb and his dad went fishing at the lake. Caleb caught 2 trouts and his dad caught three times as much as Caleb. How many more trouts did his dad catch compared to Caleb?
answer:Caleb caught 2 trouts. His dad caught three times as much as Caleb, so his dad caught 2 x 3 = 6 trouts. His dad caught 6 - 2 = 4 more trouts than Caleb. 4 The answer is: 4
question:Mark has an egg farm. His farm supplies one store with 5 dozen eggs and another store with 30 eggs each day. How many eggs does he supply these two stores in a week?
answer:Mark supplies one store with 5 dozen eggs, which is equal to 5 x 12 = 60 eggs per day. He supplies another store with 30 eggs per day. In total, he supplies 60 + 30 = 90 eggs per day. Since there are 7 days in a week, Mark supplies a total of 90 x 7 = 630 eggs in a week. 630 The answer is: 630
question:Out of the 500 students in a local high school, 40 percent are juniors. If 70 percent of juniors are involved in sports, how many juniors in total are involved in sports?
answer:Out of the 500 students, 40 percent are juniors, so there are 500 * 0.40 = 200 juniors If 70 percent of juniors are involved in sports, then there are 200 * 0.70 = 140 juniors involved in sports 140 The answer is: 140