math please help!!!!!!!!!!!!!!!!!!!!!

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A lady has a certain number of dollar bills in her purse. She has no other money. She spends half the money on a hat and gives $1 to a begger outside the store.She spends half the remaining dollars for lunch and tips the waiter $2. She then spends haif the remaining dollars for a book, and just before she goes home she spends $3 dollars on a hot fudge sundae. She now has $1 left. How many dollars did she began with?

  • math please help!!!!!!!!!!!!!!!!!!!!! -

    $42

  • Ali -

    Thanks Ali.What did you do?

  • math please help!!!!!!!!!!!!!!!!!!!!! -

    Let the original amount be $x

    Amount left after first episode
    = x/2 - 1

    amount left after lunch
    = (x/2-1)/2 - 2

    amount left after buying book
    = [(x/2-1)/2 - 2]/2

    amount left after buying fudge
    = [(x/2-1)/2 - 2]/2 - 3

    then[(x/2-1)/2 - 2]/2 - 3 = 1
    [(x/2-1)/2 - 2]/2 = 4
    [(x/2-1)/2 - 2] = 8
    (x/2-1)/2 = 10
    x/2 - 1 = 20
    x/2 = 21
    x = 42

  • math please help!!!!!!!!!!!!!!!!!!!!! -

    $6.00

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