Question

The length between the bases on a baseball field is 90ft. A scale drawing shows the distance between the based as 2 1/2 inches. One inch on this drawing equals how many ft?

Answer 1

SOLUTION:

Step 1:

In this question, we have the following:

The length between the bases on a baseball field is 90ft.

A scale drawing shows the distance between the bases is 2 1/2 inches.

One inch on this drawing equals how many ft?

Step 2:

$\begin{gathered} \text{90 f}eet\text{ =2 }\frac{1}{2}\text{ inches} \\ y\text{ f}eet\text{ = 1 inch} \end{gathered}$

Cross-multiply, we have that:

$\begin{gathered} 2\frac{1}{2}\text{ x y = 9}0\text{ x 1} \\ \frac{5}{2}y=90 \\ \text{Divide both sides by }\frac{5}{2},\text{ we have that:} \\ y\text{ = 90 x }\frac{2}{5} \\ y\text{ =}\frac{180}{5} \\ y\text{ =36} \end{gathered}$

CONCLUSION:

One inch on this drawing equals 36 feet