Question

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

Answer 1

The original price is `$725`.

Explanation:

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

`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`