How do I solve this?

On Monday Sam withdrew half of the money he had in the bank, onTuesday he withdrew $3000, on Wednesday he withdrew half of the money he had left. If he has $5000 left in the bank, how much did Sam start with on Monday?

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  • 1 month ago
    Favorite Answer

    start with the $5000. this is the half which is left so double it $10,000. Put back the $3,000. $13,000. This is half of the starting amount. double it $26,000 this is what he had on monday before the bank opened.

    $26,000.

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  • 1 month ago

    Let $P be Sam's initial deposit in the bank, then

    he withdrew

    P/2+3000+(P/2-3000)/2=3P/4+1500

    What he left in the bank is 5000=>

    P-(3P/4+1500)=5000

    =>

    P/4=6500

    =>

    P=$26000

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  • sepia
    Lv 7
    1 month ago

    On Monday Sam withdrew half of the money he had in the bank,

    on Tuesday he withdrew $3000,

    on Wednesday he withdrew half of the money he had left.

    If he has $5000 left in the bank,

    how much did Sam start with on Monday?

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  • TomV
    Lv 7
    1 month ago

    Beginning Amount: x

    Remaining after Monday withdrawal: x - x/2

    Remaining after Tuesday withdrawal: x - x/2 - 3000

    Remaining after Wednesday withdrawal: (x - x/2 - 3000) - (x-x/2-3000)/2 = 5000

    (x - x/2 - 3000)/2 = 5000

    x/2 - 3000 = 10000

    x/2 = 13000

    x = 26000

    Ans: $26000

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  • Bill
    Lv 7
    1 month ago

    $26000. On Wednesday he withdrew half the money, so before that he had $10000. On Tuesday morning he had $13000, which was half of what he had before Monday.

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  • 1 month ago

    Work backward. That's how.

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