SOLUTION: A customer pays $1,100 in state taxes on a newly purchased car. What is the value of the car if state taxes are 8.9% of the value?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A customer pays $1,100 in state taxes on a newly purchased car. What is the value of the car if state taxes are 8.9% of the value?       Log On


   

Question 774964: A customer pays $1,100 in state taxes on a newly purchased car. What is the value of the car if state taxes are 8.9% of the value?

Answer by pakhi(24) About Me  (Show Source):
You can put this solution on YOUR website!
Let the value of the newly purchased car be $'x'.
So the state tax is $(8.9/100)x
But the tax is $1100.
Therefore (8.9/100)x = 1100
or x = 1100 * (100/8.9)
or x = 12359.55(approx.)
Therefore the price of the new car is $12359.55
check: (8.9/100)12359.55 = 1099.99995 = 1100(approx.)