Question

On a map, the distance between Shanghai and Mount Everest measures 4 1/5 inches. If the map has a scale where 1 inch equals 500 miles, about how many miles apart are Shanghai and Mount Everest?

Answer 1

The miles apart for Shanghai and Mount Everest is 2100 miles

Explanation:

Given :

Distance in map between Shanghai and Mt. Everest =
`4 (1)/(5) \text { inches }`

1 inch = 500 miles

Converting mixed fraction
`4 (1)/(5) \text { inches }` into improper fraction =
`(21)/(5) \text { inches }`

To calculate the distance (in miles)

`(21)/(5) \text { inches } * 1 \mathrm{Inch}`

=
`(21)/(5) * 500 \text { miles }`

= 2100 miles

Therefore the distance for Shanghai and Mount Everest in miles is 2100 miles

Answer 2

2,100 miles

Explanation:

we know that

On a map, the distance between Shanghai and Mount Everest measures 4 1/5 inches

Convert mixed number to an improper fraction

`4(1)/(5)\ in=(4*5+1)/(5)=(21)/(5)\ in`

The scale of the map is 1 inch equals 500 miles

so

using proportion

Find out how many miles apart are Shanghai and Mount Everest

Let

x ----> the distance in miles

`(1)/(500)(in)/(mi)=((21/5))/(x)(in)/(mi)\\\\x=500(21/5)\\\\x=2,100\ mi`