Question

On a map the scale is shown as 0.5 inches equaling 15 miles. If two towns

are 2.25 inches apart on the map, what is the distance in miles between
the towns?​

Answer 1

The distance in miles between the towns is 67.5.

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
`x.`

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
`x.`

Now, to solve using by cross multiplication method:

`(0.5)/(15) =(2.25)/(x)`

By cross multiplying we get:

`0.5x=33.75`

Dividing both sides by 0.5 we get:

`x=67.5\ miles.`

The actual distance between the two towns = 67.5 miles.

Therefore, the distance in miles between the towns is 67.5.