To find the price of the car in very nice condition, follow the steps below.
Step 01: Write a relation between the price in excellent condition and the price in very nice condition.
Let E be the price in excellent condition and N be the price in very nice condition. Knowing that E is 4 3/4 times as much N. And that 4 3/4 is 4.75:
[tex]E=4.75N[/tex]Step 02: Knowing E, find N.
Since E = 66,500:
[tex]66,500=4.75N[/tex]Dividing both sides by 4.75 to isolate N:
[tex]\begin{gathered} \frac{66,500}{4.75}=\frac{4.75N}{4.75} \\ 14,000=1N \\ 14,000=N \end{gathered}[/tex]Answer: The price of the car in nice condition is $14,000.