A scale on a map shows that 2 inches = 25 miles.

How many miles are represented by 1/4 inch on the map?

2 inches : 25 miles

1/4 inches : X miles

2 divided by 1/4 = 8, so

8X = 25

25/8 = X

3.125 = X

Therefore, 1/4 inches represents 3.125 miles

4 1/8 miles or 3.125 miles

Step-by-step explanation:

From the question

2 inches = 25miles

1/4 inch = x miles

Cross multiply

We have

2inches x xmiles = 1/4 x 25

2x = 25/4

Divide both sides by 2

2x/2 = 25/4 / 2

x = 25/4 x 1/2

x = 25/8

x = 4 1/8 miles

Or 3.125 miles