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question:Santino has 2 papaya trees and 3 mango trees. If each papaya tree produces 10 papayas and each mango tree produces x mangos, Santino has 80 fruits in total. What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the number of mangos produced by each mango tree. Let's break down the information given: Number of papaya trees: 2 Number of mango trees: 3 Number of papayas produced per papaya tree: 10 Number of mangos produced per mango tree: x Total number of fruits: 80 We can set up the equation as follows: Number of papaya trees * Number of papayas produced per papaya tree + Number of mango trees * Number of mangos produced per mango tree = Total number of fruits 2 * 10 + 3 * x = 80 Let's simplify and solve for x: 20 + 3x = 80 To isolate x, we subtract 20 from both sides of the equation: 20 + 3x - 20 = 80 - 20 3x = 60 To solve for x, we divide both sides of the equation by 3: x = 60 / 3 x = 20 The value of x is 20. 20 The answer is: 20
question:The centerpieces at Glenda’s wedding reception include a fishbowl containing 2 fish, except for x table that has 3 fish. There are 32 tables. How many fish are there? If we know the answer to the above question is 65, what is the value of unknown variable x?
answer:We know that there are 32 tables in total. For 31 of those tables, each fishbowl contains 2 fish, so there are 31 * 2 = 62 fish. For the remaining table, the fishbowl contains 3 fish. The total number of fish is the sum of the fish in the 31 tables and the fish in the remaining table: 62 + 3 = 65 fish. We are given that the total number of fish is 65, so we can write: 62 + 3 = 65. Solving for x, we get: x = 1. The value of x is 1. 1 The answer is: 1
question:Safari National park has 100 lions, half as many snakes, and 10 fewer giraffes than snakes. On the other hand, Savanna National park has double as many lions as Safari National park, triple as many snakes as Safari National park, and 20 more giraffes than Safari National park. How many animals in total does Savanna National park have?
answer:Safari National park has 100 lions. Safari National park has half as many snakes as lions, so it has 100/2 = 50 snakes. Safari National park has 10 fewer giraffes than snakes, so it has 50-10 = 40 giraffes. Savanna National park has double as many lions as Safari National park, so it has 100*2 = 200 lions. Savanna National park has triple as many snakes as Safari National park, so it has 50*3 = 150 snakes. Savanna National park has 20 more giraffes than Safari National park, so it has 40+20 = 60 giraffes. In total, Savanna National park has 200+150+60 = 410 animals. 410 The answer is: 410
question:f the sum and product of Elvie's age and Arielle's age add up to 131 and Elvie's age is 10, what is Arielle's age?
answer:Let's assume Arielle's age is A. According to the given information, Elvie's age is 10. The sum of their ages is 10 + A. The product of their ages is 10 * A. It is given that the sum and product of their ages add up to 131, so we can write the equation as: 10 + A + 10 * A = 131 Combining like terms, we get: 11A + 10 = 131 Subtracting 10 from both sides, we get: 11A = 121 Dividing both sides by 11, we get: A = 11 Therefore, Arielle's age is 11. 11 The answer is: 11