Question

On a map of Durham, Hillside High School and Rogers-Herr Middle School are 6 1/2 inches apart. If every inch represents 1/4 of a mile, how many miles apart are the two schools?

ratio box / proportion method to solve this possibly?

Answer 1

Actual distance between schools is `1 5/8" miles"`

Explanation:

Using ratio in fraction format:

`("actual miles")/("inches on map") =(color(white)(".")1/4color(white)("."))/1`

But on the map they are `6 1/2` inches apart `->13/2`

So we need to change the bottom value to `6 1/2`

For multiply and divide, what we do to the bottom we also do to the top.

Multiply top and bottom by `6 1/2 ->13/2`

`("actual miles")/("inches on map") =(color(white)(".")1/4xx13/2color(white)("."))/(1xx13/2)color(white)("d") =color(white)("d") (13/8)/(13/2)color(white)("d") =color(white)("d") (1 5/8" miles")/(6 1/2" inches")`