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A car company builds two versions of one of its models-a sedan and a station wagon. The ratio of sedans to station wagons is 11:2. A freighter begins unloading the cars at a dock. Tom
counts 18 station wagons and then overhears a dock worker call out, "Okay, that's all of the wagons ... bring out the sedans!" How many sedans were on the ship? Write the number only.

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Answer:

Number of sedans on the ship = 99

Step-by-step explanation:

Given that:

Ratio of sedans to station wagons = 11 : 2

Number of station wagons count by Tom = 18

Number of sedans = x

Ratio of sedans to station wagons = x : 18

The relationship is directly proportional;

11 : 2 :: x : 18

Product of mean = Product of extreme

2x = 11*18

2x = 198

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{198}{2}\\x=99[/tex]

Hence,

Number of sedans on the ship = 99

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