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21 August, 11:46

Mary buys a dress that is on sale for 20% off its original price. She uses a store coupon to obtain an additional 30% off the sale price. Mary pays $80 for the dress. What was the original price of the dress? Use an equation to solve.

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  1. 21 August, 14:14
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    The original price of the dress is 142.85$

    Step-by-step explanation:

    Let the original price of the dress be 'x'

    After 20% discount the payable amount for the dress is

    x-20x/100

    =80x/100

    =4x/5 first equation (The price of the dress after 20% discount)

    Now, after applying the additional sales coupon of 30%, from the first equation we get,

    Payable amount for the dress will be 4x/5 - 30x/100*4x/5 (30% of discounted price)

    = 400x-120x/5 (100) second equation

    But Mary paid 80 $ finally, using second equation we tell us the amount after 30% additional discount.

    400x-120x/500 = 80

    = 280x=80*500

    x = 80*500/280

    =1000/7

    x = 142.85 $

    Hence, the original price is 142.85 $
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