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Math

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Sarah was given a sum of money. She spent the same amount of money each day. She spent 2/7 of her money in 6 days. After another 5 days, she had $20 left. How much money did she have at first.

  • Math -

    let the amount she spent each day be $x
    so in the 6 days she spent 6x
    This was 2/7 of her total
    (2/7)total = 6x
    total = (7/2)(6x) = 21x


    so 21x - 5x = 20
    16x = 20
    x = 20/16 = 1.25

    So she spent $1.25 each day
    her total at the start was 21x = $26.25

    check:
    after 5 days, she spent 5(1.25) = 6.25
    leaving her with $20 , ✔

    in 6 days she spent 6(1.25) = $7.50
    leaving her with 26.25-7.5 = $18.75
    ... and what is 2/7 of $26.25 ???
    it is $7.5 ✔

  • Math -

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