Answer: Let's assume that each van can carry x students and each bus can carry y, students.
The total number of students that can be transported by the vans is 12 times x, and the total number of students that can be transported by the buses is 2 times y. The total number of students that need to be transported is the sum of the number of students that can be transported by the vans and the buses. Therefore, we can write the following equation:
Total number of students = 12x + 2y
In this equation, 12x represents the number of students that can be transported by the vans (since there are 12 vans), and 2y represents the number of students that can be transported by the buses (since there are 2 buses). The sum of these two terms gives us the total number of students that can be transported.
So, the equation that models this situation is:
12x + 2y = Total number of students.
Explanation: