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Math Help - Algebra word problem help

  1. #1
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    Algebra word problem help

    I really find it hard to figure out how to structure my equation when faced with a word problem. I stumble a lot.
    An example im working on If Y is your before-tax income, suppose that the government takes away 1/4y-10 as taxes. What was your pre-tax income if your after-tax income is $280.

    So my brain tries junk like this.

    x * 1/4Y - 10 = 280

    Which I know isnt right. So any tips on how to structure word problems so I can more easily put them in equation format?
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  2. #2
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    Re: Algebra word problem help

    The problem suggest denoting the pre-tax income by y. Write the following:

    (1) pre-tax income
    (2) tax (in terms of y)
    (3) after-tax income (in terms of y)

    Then equate the result of (3) with 280.
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  3. #3
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    Re: Algebra word problem help

    Quote Originally Posted by Capnzims View Post
    I really find it hard to figure out how to structure my equation when faced with a word problem. I stumble a lot.
    An example im working on If Y is your before-tax income, suppose that the government takes away 1/4y-10 as taxes. What was your pre-tax income if your after-tax income is $280.

    So my brain tries junk like this.

    x * 1/4Y - 10 = 280

    Which I know isnt right. So any tips on how to structure word problems so I can more easily put them in equation format?
    (before tax income) - (what the govt takes away) = after tax income

    y - \left(\frac{y}{4}-10\right) = 280
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  4. #4
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    Re: Algebra word problem help

    I unfortunately dont even know how to solve that equation.
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  5. #5
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    Re: Algebra word problem help

    Quote Originally Posted by Capnzims View Post
    I unfortunately dont even know how to solve that equation.
    Wonder why you were given that problem then...bad teacher?
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