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A big sale is happening today at the Newton Shoe Store. You buy two pair od running shoes. The first pair is $64, which is 20% off the original price. The second pair os $72, which is 40% off the original price. what is the persent of discount on the Combined purchase os the two pairs of shoes? (assuming no sales tax is involved)

I know that you have to find the original prices of the shoes, then, add that together, then add the percents together, and find the total percent, correct?
I don't know how to get to the original price, or how to find the end percent. Can anyone help?

  • Algebra -

    To find the original price:

    Since the price for the first pair is 20% off the original price, you're actually paying 80% of the original price.

    0.8x = 64
    x = 64/0.8
    x = 80

    Using the same method, find the original price of the second pair.

    We'll be glad to check your answer.

  • Algebra -

    would the second pair be $120?

    then you add those together, and that equals $200.

    Here's were I'm stuck.
    Would you make the $200 a percent then subtract it by the sum of the 80% and 60%? your answer would be 50%.

  • Algebra -

    Yes. The original price of the second pair was $120 -- so the two pairs of shoes together would have cost $200.

    But you paid only paid $136 for the twopairs.

    To find the percent of discount for both pairs:

    $200 - 136 = $64

    64/200 = .32 = 32%

  • Algebra -

    Oh THANK YOU!!! i've benn so confused!

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