Question

On Carrie's map, Greenville and North Valley are 4.5 inches apart, on her map is 1 inch 20 miles. How far is Greenville from North Valley?

Answer 1

See a solution process below:

Explanation:

We can write this as:

`1` inch is to `20` miles as `4.5` inches is to what?

Or

`1" in" -> 20" mi":4.5" in" -> x`

Or

`(1" in")/(20" mi") = (4.5" in")/(x`

To solve this last equation we can first do a cross product or cross multiply the equation:

`1" in" * x = 20" mi" * 4.5 "in"`

`1" in"x = 90" in" * "mi"`

`(1" in"x)/(1" in") = (90" in" * "mi")/(1" in")`

`(color(red)(cancel(color(black)(1" in")))x)/color(red)(cancel(color(black)(1" in"))) = (90color(red)(cancel(color(black)(" in"))) * "mi")/(1color(red)(cancel(color(black)(" in"))))`

`x = (90" mi")/1`

`x = 90" mi"`

Greenville is `color(red)(90)` mile from North Valley.