Question

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?

Answer 1

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.

Answer 2

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

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.

`(x_1)/(y_1)=(x_2)/(y_2)`

`\implies(length)/(width)=(6)/(1)=(30)/(x)`

`\implies(6)/(1)=(30)/(x)`

`\implies6* x=30*1`

`\implies6x=30`

`\implies x=(30)/(6)`

`\implies x=5`

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