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

Answer:

The miles apart for Shanghai and Mount Everest is 2100 miles

Explanation:

Given :

Distance in map between Shanghai and Mt. Everest = $4 \frac{1}{5} \text { inches }$

1 inch = 500 miles  

Converting mixed fraction $4 \frac{1}{5} \text { inches }$ into improper fraction = $\frac{21}{5} \text { inches }$

To calculate the distance (in miles)

$\frac{21}{5} \text { inches } \times 1 \mathrm{Inch}$

=$\frac{21}{5} \times 500 \text { miles }$

= 2100 miles

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

Answer 2

Answer:

2,100 miles

Step-by-step 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

$4\frac{1}{5}\ in=\frac{4*5+1}{5}=\frac{21}{5}\ in$

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

$\frac{1}{500}\frac{in}{mi}=\frac{(21/5)}{x}\frac{in}{mi}\\\\x=500(21/5)\\\\x=2,100\ mi$