Question

your cousin bought a used car. he paid a total of $12,755 for the car. the total cost includes:

• the list price of the car, ( x )
• a 7% sales tax on the list price
• plus $450 in additional fees

what is the list price of the car your cousin bought?
list price: $\square

Explanation:

Step1: Set up total cost equation

$x + 0.07x + 450 = 12755$

Step2: Combine like terms

$1.07x + 450 = 12755$

Step3: Isolate the term with x

$1.07x = 12755 - 450$
$1.07x = 12305$

Step4: Solve for x

$x = \frac{12305}{1.07}$

Answer:

$11500$