Including a 7% sales tax, a car sold for $19,954. What was the price of the car, to the nearest cent, before the tax was added?
2006-10-02 13:38:43 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Divide $19,954 by 1.07 and round off to two places.
2006-10-02 13:41:56 · answer #1 · answered by just♪wondering 7 · 0⤊ 0⤋
Set up the equation as follows:
Let x be the price of the car (in $ and cents):
The price of the car plus 7% tax = $19,954
x + 0.07x = 19954
(1 + 0.07) x = 19954
1.07x = 19954
Divide both sides by 1.07
x = 19954 / 1.07
Solve for x:
x = 18648.60
(As a check, tax would be 7% of this or $1,305.40, for a total of $19,954.00)
The price of the car before tax was $18,648.60.
2006-10-02 20:41:06 · answer #2 · answered by Puzzling 7 · 0⤊ 0⤋
So $19,954 is 107% of the price of the car.
Can't you write a proportion to calculate what 100% of the price of the car is?
"$19,954 is to 107 percent as 'x' is to 100 percent":
$19,954 / 107 = x / 100.
solve for x
2006-10-02 22:36:31 · answer #3 · answered by ronw 4 · 0⤊ 0⤋
the total price of the car is... C (cost of the car)+ 0.07C (7% tax on the car).
C + 0.07C = 19954
1.07C = 19954
C = 18,648.60
2006-10-02 20:42:13 · answer #4 · answered by ChrisS 2 · 0⤊ 0⤋
the simplest formula i learned was:
x/19954=100/107
x being the original price
cross multiply the fractions: 107x = 1995400
solve the equation, divide 1995400 by 107
x = $18648.60
or, you could divide 19954 by 1. 07 to get the same answer
use
1.07x = 19954
if you need to solve with an equation
2006-10-02 20:49:18 · answer #5 · answered by tomcat 3 · 0⤊ 0⤋