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26 December, 18:18

Jane paid $40 for an item she received a 20% discount. Janes friend says this means that the original price of the item was $48

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  1. 26 December, 21:40
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    Jane's friend is wrong. The original price was $50

    Step-by-step explanation:

    Jane got a 20% discount, so she paid 80% of the original price. As a ratio she paid

    80% : 100% = 80/100 = 4/5

    She paid four fifths the regular price, so we can set up an equation to find out what that price was.

    (4/5) x = 40 (four-fifths of some value is 40)

    now solve for x

    multiply both sides by 5 to get rid of the fraction ...

    4x = 200

    divde both sides by 4 to isolate x

    x = 50

    $50 was the original price
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