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An automobile manufacturer is preparing a shipment of cars and trucks on a cargo ship that can carry 21,600 Tons. The cars weigh 3.6 tons each and the trucks weigh 7.5 tons each. For a different shipment, cars are loaded first, and then trucks are loaded afterwards. Write an equation you could enter into a calculator or a spreadsheet tool to find the number of trucks that can be shipped if the number of cars is known. Let x=number of cars (input) and Let y=number of trucks (output)

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Answer:

Number of trucks (y) that can be shipped if the number of cars (x) is known[tex]=\frac{21,600-3.6x}{7.5}[/tex]

Step-by-step explanation:

A cargo ship can carry 21,600 Tons.

Let x denotes number of cars and y denotes number of trucks.

The cars weigh 3.6 tons each and the trucks weigh 7.5 tons each.

Therefore,

[tex]3.6x+7.5y=21,600[/tex]

Now write y in terms of x.

[tex]7.5y=21,600-3.6x\\y=\frac{21,600-3.6x}{7.5}[/tex]

Number of trucks (y) that can be shipped if the number of cars (x) is known[tex]=\frac{21,600-3.6x}{7.5}[/tex]

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