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Math Help - Discount Equation Help

  1. #1
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    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.
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  2. #2
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    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 S = .76(61) = 46.36.
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  3. #3
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    Re: Discount Equation Help

    If you really wanted to use the given equation you would still obtain $46.36:

    S = 61 - .24(61) = 46.36
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  4. #4
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    Re: Discount Equation Help

    Hello, IDoNotLikeMath!

    Use the discount equation: . S \:=\:R - rR
    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.

    We are given: . \begin{array}{ccc}S &=& 61 \\ r &=& 0.24 \end{array}

    Substitute into the discount equation: . 61 \;=\;R - 0.24R

    Now solve for R.



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  5. #5
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    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. 61 = .76R. Divide both sides by .76 to get R = \frac{61}{.76} = 80.26
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