SOLUTION: Elka pays $1187.20 for a computer. The price includes a 6% sales tax. What is the price of the computer itself?

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Question 365990: Elka pays $1187.20 for a computer. The price includes a 6% sales tax. What is the price of the computer itself?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
elka pays 1187.20 for a computer.
price includes 6% sales tax.

x = cost of the computer
t = tax
p = price elka payed.

p = x + t*x

1187.20 = x + .06*x

combine like terms to get:

1187.20 = 1.06*x

divide both sides of the equation by 1.06 to get:

1187.20 / 1.06 = x = 1120

price of the computer is equal to 1120.

add 6% sales tax to that and you get 1120 + 67.2 = 1187.2