Question

On a map, 2 cm represents 30 mi. On the map, the distance between two cities is 7.5 cm.

What is the actual distance between the two cities?

A.
8 mi

B.
35.5 mi

C.
112.5 mi

D.
225 mi

Answer 1

Set up a proportion.

2/30 = 7.5/x

Cross multiply:

2x = 225

Divide 2 to both sides:

x = 112.5

So the actual distance between the two cities is 112.5 miles.

Answer 2

Cross multiply: $\frac{2}{7.5} = \frac{30}{x}$ 

$225 = 2x$

Divide 2 from both sides

$\frac{225}{2} = \frac{2x}{1}$

$x =112.5$

Your answer is C. 112.5