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Suppose you have $28.00 in your bank account and start saving $18.25 every week. Your friend has $161.00 in his account and is withdrawing $15 every week. When will your account be the same?

  • math -

    let amount1 = 28 - 18.25w
    let amount2 = 161 - 15w

    so you want amount1 = amount2
    28 - 18.25w = 161 - 15w
    -3.25w = 133

    oops, a negative number of weeks ????
    your question is bogus

  • math -

    the answer is 4, you got your signs mixed up

  • math -

    your money = $28 + ($18.25 * each week)
    the $28 is money that you already have in your bank account, and $18.25 how much it will increase by each week.

    friend's money = $161 - ($15 * each week)
    the $161 is money your friend has in his bank account, and $15 is how much it will decrease by each week (which is why there is a minus sign)

    you want to know which week you and your friend will have the same amount of money, so make your equations equal to one another.

    let's call the week, say, "x".

    $28 + $18.25x = $161 - $15x
    group your like terms:

    $18.25x + $15x = $161 - $28
    $33.25x = $133

    now solve for x:
    x = $133 / $33.25
    x = 4

    therefore, your account balances will be the same in week 4.

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