An insurance company paid $320 to Heather in compensation for her stolen camera. If this was 80% of its value, what was Heather's camera worth?

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Answer 1 · 2018-07-06T03:39:26

camera was worth: $$ 400$ $$400$

Given: $80 %$ $80%$ of a camera's value is $$ 320$ $$320$ . Find value

$%$ $%$ equation: $\frac{%}{100} \times of = is$ $%/100 xx "of" = "is"$

Use the variable $V$ $V$ for $of$ $color(red)("of")$ , the total value.

$\frac{80}{100} \times V = 320$ $80/100 xx V = 320$

$V = \frac{320}{1} \cdot \frac{100}{80} = $ 400$ $V = 320/1 * 100/80 = $400$

Answer 2 · 2018-07-06T15:54:15

$$ 400$ $$400$

Notice that $$ 320$ $$320$ is $80 %$ $80%$ of the camera's value. Let the camera cost $$ a$ $$a$ .

So, we get:

$80 % \cdot $ a = $ 320$ $80%*$a=$320$

$0.8 a = 320$ $0.8a=320$

$a = \frac{320}{0.8}$ $a=320/0.8$

$= 400$ $=400$

Therefore, the camera was originally worth $$ 400$ $$400$ .