Question

Working with Percents

Winona paid $125.00 for an item that was originally priced at $520.00. What percent of the
original price did Winona pay? Round your answer to the nearest tenth of apercent.
Winona paid
of the original price.

Answer 1

24%

Explanation:

If we want to find what percent, we simply set up an equation that you would generally use when trying to find "P" percent of a number, except we use an unknown "P" as a placeholder, and from there we can solve for that value using some algebraic manipulation.

`520*(P)/(100) = 125`

We can divide both sides by 520 to cancel it out on the left side.

`(P)/(100)\approx 0.2403`

and now from here we can multiply both sides by 100 to cancel out the division of 100 on the left side.

`P\approx24.03`

rounding to the nearest tenth, we look to the hundredth which is less than 5 so we round down to 24.00.

`P\approx 24`

So Winona only paid approximately 24% of the original price.