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Thread: Employee's Salary Before New Contract

  1. #1
    Senior Member harpazo's Avatar
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    Employee's Salary Before New Contract

    A union specifies a 6 percent salary increase plus a 450 dollars bonus for each employee. For a certain employee, this is equivalent to an 8 percent salary increase. What was this employee's salary before the new contract?

    Let x = employee's salary before new contract

    0.08x = 0.06x + 450

    Is this the correct equation set up?
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    Re: Employee's Salary Before New Contract

    Quote Originally Posted by harpazo View Post
    A union specifies a 6 percent salary increase plus a 450 dollars bonus for each employee. For a certain employee, this is equivalent to an 8 percent salary increase. What was this employee's salary before the new contract?

    Let x = employee's salary before new contract

    0.08x = 0.06x + 450

    Is this the correct equation set up?
    Work it out and check your answer back in the question to see if it is correct.
    Thanks from topsquark, DenisB and harpazo
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  3. #3
    Senior Member harpazo's Avatar
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    Re: Employee's Salary Before New Contract

    Quote Originally Posted by Debsta View Post
    Work it out and check your answer back in the question to see if it is correct.

    0.08x = 0.06x + 450

    0.08x - 0.06x = 450

    0.02x = 450

    x = 450/0.02

    x = 22,500

    The employee's salary before the new contract was 22,500 dollars.

    Prove:

    Let x = 22,500

    0.08(22,500) = 0.06(22,500) + 450

    1,800 = 1,350 + 450

    1,800 = 1,800
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    Re: Employee's Salary Before New Contract

    Keep doing that...less time wasted...
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    Re: Employee's Salary Before New Contract

    Quote Originally Posted by harpazo View Post
    0.08x = 0.06x + 450

    0.08x - 0.06x = 450

    0.02x = 450

    x = 450/0.02

    x = 22,500

    The employee's salary before the new contract was 22,500 dollars.

    Prove:

    Let x = 22,500

    0.08(22,500) = 0.06(22,500) + 450

    1,800 = 1,350 + 450

    1,800 = 1,800
    That's good! But not quite what I meant. You are checking your solution in the equation, by putting it back into the equation. That certainly checks that you've solved the equation correctly and is an important step (even if you do it your head), but doesn't check the equation was the right one in the first place ie have you interpreted the "word problem" correctly.


    So forget your equation for now and take your solution back to the "words" of the question. Something like:

    Solution: The employer's salary before was 22500 dollars.

    "A union specifies a 6 percent salary increase plus a 450 dollars bonus for each employee." So increase is 6% of 22500 + 450 = 1350 + 450 = 1800.

    "For a certain employee, this is equivalent to an 8 percent salary increase." So increase is 8% of 22500 =1800.

    They are equivalent so my solution is correct.

    This can all be done in your head, but allows you to check what you have done is correct.
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  6. #6
    Senior Member harpazo's Avatar
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    Re: Employee's Salary Before New Contract

    Quote Originally Posted by Debsta View Post
    That's good! But not quite what I meant. You are checking your solution in the equation, by putting it back into the equation. That certainly checks that you've solved the equation correctly and is an important step (even if you do it your head), but doesn't check the equation was the right one in the first place ie have you interpreted the "word problem" correctly.


    So forget your equation for now and take your solution back to the "words" of the question. Something like:

    Solution: The employer's salary before was 22500 dollars.

    "A union specifies a 6 percent salary increase plus a 450 dollars bonus for each employee." So increase is 6% of 22500 + 450 = 1350 + 450 = 1800.

    "For a certain employee, this is equivalent to an 8 percent salary increase." So increase is 8% of 22500 =1800.

    They are equivalent so my solution is correct.

    This can all be done in your head, but allows you to check what you have done is correct.
    I will simply plug my x-value back into the equation. Time is limited for a man working 40 plus hours per week on the overnight.
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