SOLUTION: Midtown Antiques collects 6% sales tax on all sales. If total sales including tax are $1946.77, find the portion that is the tax. Round your answer to the nearest cent.

Algebra ->  Equations -> SOLUTION: Midtown Antiques collects 6% sales tax on all sales. If total sales including tax are $1946.77, find the portion that is the tax. Round your answer to the nearest cent.       Log On


   

Question 1162629: Midtown Antiques collects 6% sales tax on all sales. If total sales including tax are $1946.77, find the portion that is the tax. Round your answer to the nearest cent.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.


Let x be the sales amount.


Then the tax is 0.06x, and the total sales including tax is x + 0.06x = 1/06x.


You have this equation


    1.06x = 1946.77.


From the equation 


    x = 1946.77%2F1.06 = 1836.58 (rounded to nearest cent.


Then the tax is  0.06x = 0.06*1836.58 = 110.19 dollars.    ANSWER


CHECK.  1836.58 + 110.19 = 1946.77  dollars.    ! Precisely correct !

Solved.