Answer:
The distance in miles between the towns is 67.5.
Step-by-step explanation:
Given:
On a map the scale is shown as 0.5 inches equaling 15 miles.
If the distance are 2.25 inches apart on the map between the towns .
Now, to find the distance in miles between the towns.
The distance on the map between the towns = 2.25 inches.
Let the actual distance between the two towns be [tex]x.[/tex]
The scale of the map is 0.5 inches equaling 15 miles.
If, 0.5 is equivalent to 15 miles.
Thus, 2.25 is equivalent to [tex]x.[/tex]
Now, to solve using by cross multiplication method:
[tex]\frac{0.5}{15} =\frac{2.25}{x}[/tex]
By cross multiplying we get:
[tex]0.5x=33.75[/tex]
Dividing both sides by 0.5 we get:
[tex]x=67.5\ miles.[/tex]
The actual distance between the two towns = 67.5 miles.
Therefore, the distance in miles between the towns is 67.5.
