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.
\(\frac{x_1}{y_1}=\frac{x_2}{y_2}\)
\(\implies\frac{length}{width}=\frac{6}{1}=\frac{30}{x}\)
\(\implies\frac{6}{1}=\frac{30}{x}\)
\(\implies6\times x=30\times1\)
\(\implies6x=30\)
\(\implies x=\frac{30}{6}\)
\(\implies x=5\)
Therefore, Width of the box with a length of 30 inches is 5 inches.
