Question

An appliance store decreases the price of a 19 inch television set by 26% to a sale price of $474.71. What is the original price. (Round to the nearest cent.)

Answer 1

This is an algebra question so lets let the original price =x dollars
x=original price.
this price was reduced by 26 %. Convert percent to decimal: 26%=26/100=.26
so then:
.26x is the amount of the reduction
orig price minus reduction would be the sale price.
x - .26x=474.71 dollars
now we do the algebra
.74x=$474.71
x=$474.71/.74
x=$641.50 that is the original price.

A good reduction, time to go shopping!