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

1 Answer
Nov 27, 2016

Answer:

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#