SOLUTION: At the beginning of the day, the cash register at the coffee shop contains $55. At the end of the day it contains $928.30. If the sales tax rate is 6.5%, how much of the total is s

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: At the beginning of the day, the cash register at the coffee shop contains $55. At the end of the day it contains $928.30. If the sales tax rate is 6.5%, how much of the total is s      Log On


   

Question 897363: At the beginning of the day, the cash register at the coffee shop contains $55. At the end of the day it contains $928.30. If the sales tax rate is 6.5%, how much of the total is sales tax?
I have subtracted the $55 from the total then multiplied .065 by the remainder and my answer still does not match with what the back of the book says. I've tried a couple of different ways but since I don't have the book right in front of me and am working off of what I have had my classmates send me, I am stuck!
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
OK, you start with $55 and sell X plus tax on X.
55%2BX%2B0.065X=928.30
1.065X=873.3
X=820

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
At the beginning of the day, the cash register at the coffee shop contains $55. At the end of the day it contains $928.30. If the sales tax rate is 6.5%, how much of the total is sales tax?
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928.30 - 55 = 873.30
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If 6.5% of this is tax,
sales + 0.065sales = 873.3
1.065*sales = 873.3
sales = 820
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Then tax = 873.3-820 = $53.30
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Cheers,
Stan H.
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