High School

A shipping container will be used to transport several 150-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 26,000 kilograms. Other shipments weighing 11,300 kilograms have already been loaded into the container.

Write an inequality representing \( c \), the total number of 150-kilogram crates that can be loaded into the shipping container. Use the drop-down menu to select your answer.

Inequality: [tex] 150c + 11,300 \leq 26,000 [/tex]

Answer :

Final answer:

The inequality representing the total number of 150-kilogram crates that can be loaded into the shipping container is c ≤ 98.

Explanation:

To solve this problem mathematically we need to form an inequality. The total weight of the shipment container should not exceed 26,000 kg. Already loaded shipments weigh 11,300 kg.

Therefore, the weight that additional crates can add becomes 26,000 - 11,300 = 14,700 kg. Let's say 'c' is the total number of 150 kg crates that can be loaded.

Then the total weight of the packed crates should not exceed 14,700 kg, which gives us 150c ≤ 14,700 or c ≤ 98. So, we can load 98 or fewer crates into the container.

Learn more about Inequalities here:

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