1. ## Discount Equation Help

Use the discount equation S = RrR,
where S is the sale price, R is the regular price, and r is the discount rate.
A battery with a discount price of $61 is on sale for 24% off the regular price. Find the regular price. Round to the nearest cent. Not sure how to tackle this one, i'd appreciate it if someone can explain how to solve. 2. ## Re: Discount Equation Help Forget the discount equation; use intuition. 24% off the regular price means you'll be paying 76% of the regular price. Therefore the sale price S is$\displaystyle S = .76(61) = 46.36$. 3. ## Re: Discount Equation Help If you really wanted to use the given equation you would still obtain$46.36:

$\displaystyle S = 61 - .24(61) = 46.36$

4. ## Re: Discount Equation Help

Hello, IDoNotLikeMath!

Use the discount equation: .$\displaystyle S \:=\:R - rR$
where $\displaystyle S$ is the sale price, $\displaystyle R$ is the regular price, and $\displaystyle r$ is the discount rate.

A battery with a discount price of $61 is on sale for 24% off the regular price. Find the regular price. .Round to the nearest cent. Not sure how to tackle this one. We are given: .$\displaystyle \begin{array}{ccc}S &=& 61 \\ r &=& 0.24 \end{array}$Substitute into the discount equation: .$\displaystyle 61 \;=\;R - 0.24R$Now solve for$\displaystyle R.$It's no wonder that you DoNotLikeMath . . . 5. ## Re: Discount Equation Help Whoops, didn't see that$61 is the "discount price."

It's still pretty simple regardless. $61 is now 76% of the regular price, e.g.$\displaystyle 61 = .76R$. Divide both sides by .76 to get$\displaystyle R = \frac{61}{.76} = 80.26\$