Question

A map shows the town where Niko lives. The actual distance from​ Niko's house to his school is 3 miles and measures​ one-half inch on the map. The actual distance from​ Niko's school to the library is 4 miles. How long is this distance on the​ map?

Answer 1

`(2)/(3)` inches

Explanation:

This is a scale problem.

The scale given is 3 miles (actual) = 1/2 inch (map)

Let's make this into 1 inches, so simplification.

If 3 mile = 1/2 inches, so that would make 6 miles = 1 inches.

Now, if 6 mi = 1 inch, how much would 4 miles be??

Let's set up a ratio and solve [let distance (in) of school to library be "x"]:

`(6)/(1)=(4)/(x)`

Now, we cross multiply and solve:

`(6)/(1)=(4)/(x)\\6x=4\\x=(4)/(6)=(2)/(3)`

Thus, distance on map would be
`(2)/(3)` inches