SOLUTION: How do you set up the equation to solve the problem, "A merchant wants to clear $365.00 after paying a service fee of 3.25%. How much much must the merchant charge his customer?" I

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Question 698063: How do you set up the equation to solve the problem, "A merchant wants to clear $365.00 after paying a service fee of 3.25%. How much much must the merchant charge his customer?" I multiplied $365.00 by 0.0325, then added that amount to the $365.00. Is there a better method/formula, Please. Thank you.
Answer by MathTherapy(10858) About Me  (Show Source):
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How do you set up the equation to solve the problem, "A merchant wants to clear $365.00 after paying a service fee of 3.25%. How much much must the merchant charge his customer?" I multiplied $365.00 by 0.0325, then added that amount to the $365.00. Is there a better method/formula, Please. Thank you.

The $365 represents 100%, so adding 3.25% to 100% results in a multiplicative amount of 1.0325, which is then multiplied by $365 (1.0325+%2A+365), thus resulting in the amount to be charged to the customer. This amount will also be the same as calculating the 3.25% service fee and then adding it to the $365 - just as you did.

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