Answer:
Let's define the variables:
x = number of small boxes bought.
y = number of large boxes bought.
Then the total number of granola bars is:
x*6 + y*24
We also know that "The camp bought 4 times as many small boxes as large boxes"
Then:
x = 4*y
and "...which altogether had 96 granola bars."
The total number of granola bars is 96, then:
x*6 + y*24 = 96
Then the system of equations is:
x = 4*y
x*6 + y*24 = 96
We want to solve this graphically.
Then we first need to isolate the same variable in both equations.
We can see that in the first one x is already isolated, so let's isolate x in the second equation:
x*6 = 96 - y*24
x = (96 - y*24)/6
x = 16 - y*4
Now we have the equations:
x = 4*y
x = 16 - y*4
To solve this graphically we need to graph both fo these lines and see in which point the lines do intersect.
The point where the lines intersect is the solution of the system.
The graph can be seen below.
We can see that the lines do intersect at the point (2, 8)
This means that the camp bought 2 large boxes and 8 small boxes.
