Question

The sales tax rate in Wilson County is 6.75%.  Suppose total price of an item that you bought in Wilson County including taxes is $14.93, 

what is the price (rounded to two decimal places) before tax?    a) $12.93      b) $13.99

B is the right answer but i don't know how to do it.
Can somebody please help ASAP.
PLEASE!

Answer 1

Sales Tax rate: 6.75%
Total price of item including tax: $14.93Original price of item: ?
Let x be the original price
x+0.0675x = 14.93 -- we change the percent to decimal

1.0675x = 14.93 -- simplify
1.0675x/ 1.0675 = 14.93/1.0675 --isolate x
x = 14.93/1.0675 --divide
x = 13.98595
Then rounded to two decimal points, the answer would be $13.99.