On a map, ½ inch represents 4/5 mile. What distance on the map represents 1 mile? _____ inches on map = 1 mile
Show your work.

Question

On a map, ½ inch represents 4/5 mile. What distance on the map represents 1 mile?  _____ inches on map = 1 mile    
Show your work.

chuckthedonut · Answer

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jhonyy9 · Answer

so you can use the rule of 3 simple and in this way you write

$$\frac{ 1 }{ 2 } inch = \frac{ 4 }{ 5 } mile$$

x inches = 1 mile cross multiplie and get

$$\frac{ 1 }{ 2 } = \frac{ 4 }{ 5 } x$$ cross multiplie and get

5 = 8x divide by 8

$$\frac{ 5 }{ 8 } = x$$

so in this way result 5/8 inches on map = 1 mile

- the proof :

1/2 = 4/5

5/8 = 1

1/2 *1 = 4/5 *5/8

1/2 = 20/40

1/2 = 1/2

hope you understand my above calcules