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A shipping container will be used to transport several 110-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 25000 kilograms. Other shipments weighing 7600 kilograms have already been loaded into the container. What is the greatest number of 110-kilogram crates that can be loaded into the shipping container?

Question

A shipping container will be used to transport several 110-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 25000 kilograms. Other shipments weighing 7600 kilograms have already been loaded into the container. What is the greatest number of 110-kilogram crates that can be loaded into the shipping container?

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Solution

Step 1: Determine the remaining weight capacity of the shipping container. This is done by subtracting the weight of the already loaded shipments from the total weight capacity of the container.

So, 25000 kilograms (total capacity) - 7600 kilograms (already loaded) = 17400 kilograms (remaining capacity).

Step 2: Determine the number of 110-kilogram crates that can be loaded into the container. This is done by dividing the remaining weight capacity by the weight of each crate.

So, 17400 kilograms (remaining capacity) ÷ 110 kilograms (weight of each crate) = 158.18 crates.

Since you can't load a fraction of a crate, you would need to round down to the nearest whole number.

Therefore, the greatest number of 110-kilogram crates that can be loaded into the shipping container is 158.

This problem has been solved

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