Question

Use the guess-and-check method to solve this problem.

An appliance-delivery truck contains a total of 6 refrigerators and
dishwashers, and their total weight is 1300 pounds. Refrigerators weigh 250
pounds and dishwashers weigh 150 pounds. How many of each type of
appliance are on the truck?
A. 1 refrigerator, 5 dishwashers
B. 2 refrigerators, 4 dishwashers
C. 4 refrigerators, 2 dishwashers
D. 3 refrigerators, 3 dishwashers

Answer 1

To solve this problem, we can use the guess-and-check method. By assuming different numbers of refrigerators and dishwashers, we can find the correct combination that matches the total weight given in the problem. The correct answer is option C with 4 refrigerators and 2 dishwashers on the truck.

Step-by-step explanation:

The Guess-and-Check Method

To solve the problem using the guess-and-check method, we can start by making some assumptions about the number of refrigerators and dishwashers. Let's assume there are 4 refrigerators and 2 dishwashers on the truck.

The total weight of the refrigerators would then be 4 * 250 = 1000 pounds, and the total weight of the dishwashers would be 2 * 150 = 300 pounds. Adding these weights together gives us a total weight of 1300 pounds, which is the same as the total weight given in the problem.

Therefore, the correct answer is option C. There are 4 refrigerators and 2 dishwashers on the truck.

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