A factory makes boxes with length to width ratios of 6 inches to 1 inch. what should be the width of a box with a length of 30 inches?

Use cross multiplication. The ration of length to width is 6 to 1. The actual dimensions are 30 to x. Set them equal to each other and cross multiply. X (width) should come out to 5.

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aquialaska aquialaska · Answer 2 · 2019-06-20T08:11:07+02:00

Answer:

Width of the box with a length of 30 inches is 5 inches.

Step-by-step explanation:

Given: Ratio of the length to width of the boxes = 6 inches : 1 inches = 6 : 1

We need to find width of a box when length of the box = 30 inches.

let x be the Width of the box.

Length and width are in direct proportion as when length increases width also increases.

So, we have the following relationship of direct proportion.

[tex]\frac{x_1}{y_1}=\frac{x_2}{y_2}[/tex]

[tex]\implies\frac{length}{width}=\frac{6}{1}=\frac{30}{x}[/tex]

[tex]\implies\frac{6}{1}=\frac{30}{x}[/tex]

[tex]\implies6\times x=30\times1[/tex]

[tex]\implies6x=30[/tex]

[tex]\implies x=\frac{30}{6}[/tex]

[tex]\implies x=5[/tex]

Therefore, Width of the box with a length of 30 inches is 5 inches.