After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.
Step-by-step explanation:
You can find the amount of students each vehicle can carry by representing the two scenarios in equations.
You are trying to find how many students will fit in each bus or van, so the two variables used will be "b" to represent how many students can fit in a bus and "v" to represent how many students can fit in a van.
High school A used 1 van and 6 buses, so there will be 1"v" and 6"b" for 372 students.
High school B used 4 vans and 12 buses, so there will be 4"v" and 12"b" for 780 students.
Now, represent these in equations:

We can use substitution to solve this system:
can be rewritten as
after subtracting 6b from both sides. You can then substitute this new value of "v" into the other equation to solve for "b":

After solving for b, you can then substitute the new value of b into the other equation to find the value of v:

After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.
Just make the equations equal to each other. -0.5x+5=3x-2. Solve for x and find that it is 2, via simple algebra. Since you know x is 2, sub it in in either equation to find y. y should be 4. So the point that fits both equation is (2,4). This shows that the two graphs of these lines will intersect at this exact point.
If you were to graph these two lines, you ould see that the point of intersection is at (2,4) like we solved for.
3 1/4 ounces = 3.25 Ounces.
3.25 x 5 = 16.25 ounces (16 1/4 ounces)