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The problem states:

- There are 105 vehicles consisting of motorcycles and cars.
- The total number of wheels (without spare tires) is 290.
- We need to determine how many cars are present.

### Let's define the variables:
- Let \( x \) be the number of motorcycles.
- Let \( y \) be the number of cars.

We know the following:
1. Each motorcycle has 2 wheels, and each car has 4 wheels.
2. The total number of vehicles is 105:
   \[
   x + y = 105
   \]
3. The total number of wheels is 290:
   \[
   2x + 4y = 290
   \]

### Solve the system of equations:

From the first equation, we can express \( x \) in terms of \( y \):
\[
x = 105 - y
\]

Substitute this into the second equation:
\[
2(105 - y) + 4y = 290
\]
Simplifying:
\[
210 - 2y + 4y = 290
\]
\[
2y = 80
\]
\[
y = 40
\]

Thus, the number of cars is 40.

The correct answer is \( \text{b. } 40 \).

Would you like a more detailed explanation or have any questions? 

Here are 5 related questions to expand your understanding:
1. How would the total number of wheels change if there were 10 more motorcycles?
2. What if the total number of vehicles was 200 and the number of wheels was 580?
3. How would you solve the problem if cars had 6 wheels instead of 4?
4. Can you create an equation to represent a situation where there are more types of vehicles?
5. How would you approach the problem if the number of spare tires was also given?

**Tip:** Systems of equations can be solved using substitution or elimination. Choosing the most efficient method helps simplify complex problems.

Di lapangan parkir terdapat 105 kendaraan yang terdiri dari sepeda motor dan mobil. Jika jumlah roda seluruh kendaraan tersebut (tanpa ban serep) adalah 290 roda, maka banyak mobil di tempat parkir tersebut adalah ....

Learn how to solve a system of equations involving 105 vehicles and a total of 290 wheels. This problem helps students apply algebraic methods to solve real-life problems using substitution. Suitable for students in Grades 6-8.

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