A sofa is on sale for 28% off. The sale price is $522. What is the original price?

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Answer 1 · 2016-11-27T07:08:46

The original price is $$ 725$ $$725$ .

We shall consider the original price as $x$ $x$ ; hence the discount can be considered as $(x - 522)$ $(x-522)$ . We can write the equation:

$x \times \frac{28}{100} = x - 522$ $x xx28/100=x-522$

$x xx(7cancel(28))/(25cancel(100))=x-522$

Multiply both sides by $25$ .

$7x=25(x-522)$

Open the brackets.

$7x=25x-13050$

Add $13050$ to each side.

$13050+7x=25x$

Subtract $7x$ from each side.

$13050=18x$

Divide both sides by $18$ .

$725=x$ or $x=725$