Question

Carrie works in the shipping department of a toy factory that produces radio-controlled helicopters. Small helicopters weigh 1 pound each and are shipped in a container that weighs 17 pounds. Large helicopters weigh 7 pounds each and are shipped in a container that weighs 11 pounds. If these boxes can hold a certain number of helicopters each, all packed containers will have the same shipping weight. How many helicopters would fit in either container? What would the total weight be?

A) 5 helicopters, 22 pounds
B) 4 helicopters, 33 pounds
C) 3 helicopters, 28 pounds
D) 6 helicopters, 29 pounds

Answer 1

1 helicopter would fit in either container, and the total weight would be 18 pounds.

Step-by-step explanation:

To find the number of helicopters that would fit in either container, we need to solve the equation:

1x + 17 = 7x + 11

Combine like terms:

6x = 6

Divide both sides by 6:

x = 1

So, 1 helicopter would fit in either container.

To find the total weight, we can use the equation:

1 * (1 + 17) = 18 pounds

Therefore, the correct answer is A) 1 helicopter, 18 pounds.