Answer: 48 model cars.
Step-by-step explanation:
1. You know that the ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 4:3.
2. Let's call the number of model cars that Jim owns is [tex]x[/tex], therefore, you can solve the exercise as following:
[tex]\frac{4}{3}=\frac{x}{36}\\x=\frac{36*4}{3}\\x=\frac{144}{3}\\x=48[/tex]
3. Therefore, Jims owns 48 model cars.