Question

1. the length of a rectangle is three times the width. the sum of the length and the width is 24 inches. what is the length of the rectangle? f 3 inches g 6 inches h 9 inches j 18 inches 15. an airport shuttle company owns sedans that have a maximum capacity of 3 passengers and vans that have a maximum capacity of 8 passengers. their 12 vehicles have a combined maximum capacity of 61 passengers. how many vans does the company own? a 5 b 8 c 12 d 7

Explanation:

Step1: Set up equations

Let \(x\) be the number of sedans and \(y\) be the number of vans.
We have two equations:

1. \(x + y=12\) (total number of vehicles)
2. \(3x + 8y=61\) (total passenger capacity)

Step2: Solve the first equation for \(x\)

From \(x + y=12\), we get \(x = 12 - y\)

Step3: Substitute \(x\) into the second equation

Substitute \(x = 12 - y\) into \(3x + 8y=61\)

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Answer:

A. 5