Question

A sign says that the price marked on all music equitment is 30% off the original price. You buy an electric guitar for the sale price of $315. What is the original price?

Answer 1

$450 is the original price

Explanation:

We can create a proportion to find the sale on the original price. A proportion is an equation where two ratios are set equal to each other. We create two fractions using the prices and percents. It is marked down by 30% so we pay 70% of the original. The sale price is $315.

`(70)/(100) =(315)/(x)`

We begin solving by cross multiplying numerator to denominator of each fraction.

`70(x)=100(315)\\70x=31500\\(70x)/(70)=(31500)/(70)  \\450=x`