Question

A map scale reads 2 inches = 25 miles which distance does 6 inches represent

Answer 1

If 2 inches is 25 miles, multiply 3 on both sides and you get 6 miles is equal to 75 miles.

Answer 2

75 miles.

Explanation:

Let x represent distance in miles.

We have been given that a map scale reads 2 inches equals 25 miles. We are asked to find the distance represented by 6 inches.

We will use proportions to solve our given problem.

`\frac{x}{\text{6 inches}}=\frac{\text{25 miles}}{\text{2 inches}}`

`\frac{x}{\text{6 inches}}*\text{6 inches}=\frac{\text{25 miles}}{\text{2 inches}}*\text{6 inches}`

`x=\text{25 miles}*3`

`x=\text{75 miles}`

Therefore, 6 inches represent 75 miles.