Question

An avocado tree has a sale price of $27.95 dollars; this is 65% off the original price. What percent of the original price was the discount and how much was deducted from the original price?

Answer 1

35% off, deducts $15.05

Explanation:

The sale price was $27.95 and is 65% of the original price. This means the sale was 100%-65%= 35% off the original price.

We can create a proportion to find the original price to see how much was deducted. A proportion is an equation where two ratios are set equal to each other. We create two fractions using the prices and percents.

`(27.95)/(x) =(65)/(100)`

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

`27.95(100)=65(x)\\2795=65x\\(2795)/(65)=(65x)/(65)  \\43=x`

So the original price was $43. The sale price deducts 43-27.95= 15.05