Question 290131: A woman owns a small, cash only business in a state that requires her to charge a 6% sales tax on each item she sells. At the begining of the day she has $250 in the cash register. At the end of the day she has $1204 in the register. How much money should she send to the state government for the sales tax she collected?
Found 2 solutions by mananth, MathTherapy:
Answer by mananth(16946)   (Show Source):
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website! A woman owns a small, cash only business in a state that requires her to charge a 6% sales tax on each item she sells. At the begining of the day she has $250 in the cash register. At the end of the day she has $1204 in the register. How much money should she send to the state government for the sales tax she collected?
Since she had $1,204 at the end of the day, and she started the day with $250 in the cash register, the sales for the day must be $954 ($1,204 - $250).
Since this $954 represents sales and sales taxes, the sales would be represented by 100%, and the sales tax 6% for a total of 106%, or 1.06.
Using T for taxes, we can then use proportions to solve as we can say that:
1.06T = .06 * 954 --------> Cross-multiplying
1.06T = 57.24
T, or taxes =  = $ .
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