Answer:
The value of the car in very nice condition is $28,500.
Step-by-step explanation:
Consider the provided information.
In 1955 an antique car that originally cost 3,943 is valued at 64,125 if in excellent condition, winch is 2 1/4 times as much as a car in very nice condition.
The mixed fraction can be written as:
![2 \frac{1}{4}=\frac{9}{4}](https://tex.z-dn.net/?f=2%20%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B9%7D%7B4%7D)
Let x is the value of car in very nice condition.
![64,125 =\frac{9}{4}x](https://tex.z-dn.net/?f=64%2C125%20%3D%5Cfrac%7B9%7D%7B4%7Dx)
![x=\frac{64,125\times 4}{9}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B64%2C125%5Ctimes%204%7D%7B9%7D)
![x=28,500](https://tex.z-dn.net/?f=x%3D28%2C500)
Hence, the value of the car in very nice condition is $28,500.