Question

After a cleanup, algae covers 2 miles of a coastline. The length of the coastline covered after the cleanup is $\frac{1}{3}$

Answer 1

The miles previously covered by algae is 6 miles

let m represent the miles of the coastline covered by algae before the clean-up  

fraction of miles covered after the clean-up = $\frac{1}{3}$ x m = $\frac{1}{3}m$

miles covered after the clean-up = 2 miles

$\frac{1}{3}m$ = 2 miles

to determine the value of m, make m the subject of the formula.

To do this, take the following step :

multiply both sides of the equation by 2

m = 2 miles x 3

m = 6 miles

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