Question

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

Part A
How many inches on the map represents 60 miles?

Part B
How many miles is represented by 1/4 inch on the map?

Answer 1

A:

2 inches - 25 miles

x inches - 60 miles

Set up a proportion:

4.8 inches on the map represent 60 miles.

B:

2 inches - 25 miles

1/4 inches - x miles

Set up a proportion:

3.125 miles are represented by 1/4 inches on the map.

Answer 2

A = 4.8 inches

B = 3.125 miles

Explanation:

We can use proportions to solve this problem. The map will go on top and real life on the bottom.

2 inches x inches

------------- = -----------

25 miles 60 miles

We can use cross products to solve

2 * 60 = 25x

Divide by 25

120/25 = 25x/25

4.8 =x

4.8 inches

Part B

Changing to decimal form

1/4 inch = .25 inches

2 inches .25 inches

------------- = -----------

25 miles x miles

We can use cross products to solve

2x = 25*.25

2x = 6.25

Divide by 2

2x/2 = 6.25/2

x = 3.125 miles