Algebra HELP :(

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If you write a check without enough money in the bank, a certain store will charge you a penalty if the check is returned to them from the bank. The penalty is 5% of the amount of the check plus a $10 processing fee. Let n= the amount of the check and p the amount of the penalty fee. How much was the check if the penalty fee was $16?

I do not know how to figure this out.

  • Algebra HELP :( -

    okay so set it up as an equation.

    first subtract the processing fee from the penalty fee. there fore, fee = 6
    we now know that 6 is 5% of the check.

    there fore do a ratio to find the answer which = x

    6 x
    - x - = x= 120
    5 100

    the check was initally $120
    in an equation write:
    16-10= 6 total fee
    then do ratio above don't know how to set up as equation...

  • Algebra HELP :( -

    sorry the ratio is confusing I cross multiplied 6 by 100 and 5 by x then solved for x. Hope this helps =)

  • Algebra HELP :( -

    Fee = .05n + 10

    so if Fee = 16

    16 = .05n + 10
    .05n = 6
    n = 6/.05 = ....

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