So for this, we will be doing a system of equations, one representing Highschool A and the other Highschool B. Let x = capacity of vans and y = capacity of buses:
I'm going to be using the elimination method, but first we have to make one of the variables be able to be eliminated. To do that, firstly multiply both sides of the first equation by 2:
Next, subtract the first and second equation together to get
. From here just divide both sides by 6 and your first answer is going to be:
Now that we have the value of y, substitute it in to either equation to solve for x:
In short, a van can carry 7 students and a bus can carry 20 students.