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Diego works in the shipping department of a toy factory that makes radio-controlled helicopters. Small helicopters weigh 3 pounds each, and are shipped in a container that weighs 15 pounds. Large ones, on the other hand, weigh 4 pounds apiece, and are shipped in a container that weighs 12 pounds. If these boxes can hold a certain number of helicopters each, all of the packed containers will have the same shipping weight. What would the total weight be? How many helicopters would fit in either container?

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Answer:

Total weight = 24 pounds

Number of helicopters = 3

Step-by-step explanation:

Small helicopters :

Weight = 3 pound

Weight of container = 15

Large helicopters:

Weight = 4

Weight of container = 12

3x + 15 = 4x + 12

3x - 4x = 12 - 15

-x = - 3

x = 3

Total weight of the container :

3(3) + 15

9 + 15 = 24 pounds

Hence, number of helicopters which will fit in either container is 3

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