Question

On a certain map, 3/4 inch represents one mile. What distance, in miles, is represented by 1 3/4 inches?

Please explain to me how to get the answer.

Answer 1

I'd set up a ratio problem

3/4 inch = 1 mile
----------- --------
1 3/4 inch x

3/4 x = 1 3/4
divide each side by 3/4 (also change 1 3/4 to improper)

you end up with
x = 7/4 x 4/3
x = 28/12
x = 7/3 or 2 1/3

hope this helps

Answer 2

The distance is
`(7)/(3)` mile

Explanation:

Given : On a certain map,
`(3)/(4)` inch represents one mile.

To find : What distance, in miles, is represented by
`1(3)/(4)` inches?

Solution :

We have given that,

1 mile =
`(3)/(4)` inch

or 1 inch =
`(1)/((3)/(4))` mile

1 inch =
`{(4)/(3)` mile

We have to find miles in
`1(3)/(4)` inches i.e.
`(7)/(4)` inches

`(7)/(4)` inch =
`(7)/(4)* {(4)/(3)` mile

`(7)/(4)` inch =
`(7)/(3)` mile

Therefore, The distance is
`(7)/(3)` mile