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?


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:


{{{(1.06)/.06 = (954)/T}}}


1.06T = .06 * 954 --------> Cross-multiplying


1.06T = 57.24


T, or taxes = {{{(57.24)/1.06}}} = ${{{highlight_green(54)}}}.