Question

The sale price of a television is $220.00. Find the regular price if the sale price was computed by taking half off the regular price followed by an additional 15% discount on the reducedprice. (Round your answer to the nearest dollar)

Answer 1

$518.00

Step-by-step explanation

We have that the sales price of the television is $220.00

Let the regular price of the television be $x.

First, half was taken off, so we have that the price becomes $x/2 or $0.5x.

Then, 15% discount was taken off it to result in $220.

This means that 15% of 0.5x was deducted from 0.5x to result in $220.

That is:

`\begin{gathered} 0.5x\text{ - }(15)/(100)\cdot0.5x\text{ = 220} \\ 0.5x\text{ - 0.075x = 220} \\ 0.425x\text{ = 220} \\ x\text{ = }(220)/(0.425) \\ x\text{ = \$517.65 }\cong\text{ \$518} \end{gathered}`

The regular price of the TV is $518.00