An automobile manufacturer is preparing a shipment of cars and trucks on a cargo ship that can carry 21600 tons. The cars weigh 3.6 tons each and the trucks weigh 7.2 tons each.

For one shipment, trucks are loaded first and cars are loaded afterward. (Even though trucks are bulkier than cars, a shipment can consist of all trucks as long as it is within the weight limit.)

Find the number of cars that can be shipped if the cargo already has 480 trucks.

5,040 cars

Step-by-step explanation:

Each truck weighs 7.2 tons, and there are already 480 trucks loaded. This means that the cargo ship is currently carrying 3,456 tons.:

480 x 7.2 = 3,456

The limit is 21,600 tons, so 21,600 - 3,456 = 18,144.

Divide the remaining capacity by how much a car weighs:

18,144 / 3.6 = 5,040

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