Question

Question #a4ba6

Answer 1

#=58 cm #

Explanation:

`3/120times2320`

`=2320/40`

`=58`

Answer 2

`58 cm` on the map.

Explanation:

Scale questions can be calculated using direct proportion, because they always involve a comparison between two quantities.

Make sure that if the units are different, they match.
(either left and right side, or top and bottom)

Scale: `3cm : 120 "miles"`

We are given miles, but we want the `cm` distance on the map.

`"map distance" and " actual distance"`
`color(white)(.............)darrcolor(white)(...........)darr`
`color(white)(.............)(3 cm)/(x cm) = (120 " miles")/(2320" miles")" "` cross multiply.
`color(white)(.............)uarrcolor(white)(...........)uarr`
`"map distance" and " actual distance"`

`120x = 3 xx2320`

`x = (3 xx2320)/120`

`x = 58 cm`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

You can also find out how many miles `1cm` represents.

`3cm` represents `120` miles
`1cm` represents `40` miles

So if you divide the actual length by `40` you will find the number of `cm`

`2320/40 = 58cm`