Question

The scale on a map is 1 in: 55 miles. What is the distance on the map between two cities that are 99 miles apart?

Answer 1

1.8 inches

Explanation:

Create a proportion where x is the distance on the map

`(1)/(55)` =
`(x)/(99\\)`

Cross multiply and solve for x

55x = 99

x = 1.8

So, the distance on the map is 1.8 inches

Answer 2

1.8 inches

Explanation:

Scales on a map always represent the direct proportion.

Compare the distances as fractions:

Inches on the map

________________ =
`(1)/(55) = (x)/(99)`

Miles on the ground

`x = (1x99)/(55)`

`x = (99)/(55)`

`x = (9)/(5) = 1(4)/(5)`

x = 1.8 inches