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16 May, 18:57

A woman went shopping. First she spent 4/5 of all money she had in her purse, and then she lost 2/3 of what was remaining. Now she has $10 left.

How much money did she lose

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  1. 16 May, 19:34
    0
    She lost $20

    Step-by-step explanation:

    This is a 2 step problem

    Let's call x the total amount of money in her purse.

    First, the woman spent 4/5 of her money - -> 4/5x

    Then, she spent 2/3 of the remainder - -> (2/3) (4/5x)

    Let's take the difference of her total and what she spent.

    10 = x - ((4/5x) + ((2/3) (1/5x))) - -> combine like terms

    10 = x - ((12/15x) + (2/15x))

    10 = x - (14/15x)

    10 = 1/15x

    x = 10*15

    x = 150

    If she lost 2/15x

    (2/15) (150) = 20
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