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

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 }(1)/(2)\text{ inches} \\ y\text{ f}eet\text{ = 1 inch} \end{gathered}`

Cross-multiply, we have that:

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

CONCLUSION:

One inch on this drawing equals 36 feet