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

Nov 9, 2016

$1.8 \text{ }$inches

#### Explanation:

Scales on a map always represent direct proportion.

Compare the distances as fractions:

$\text{inches on the map"/"miles on the ground} = \frac{1}{55} = \frac{x}{99}$

$x = \frac{1 \times 99}{55}$

$x = \frac{99}{55}$

$x = \frac{9}{5} = 1 \frac{4}{5}$

$x = 1.8 \text{ }$ inches