2 answers:
Set up a system of equations.
x+y=110
35x + 50y = 5100
Solve for a variable:
y=110-x
Plug this back into the other equation
35x + 50(110-x)=5100
Solve
35x + 5500 - 50x = 5100
-15x = -400
X = 26.66
Plug that into first equation to solve for y:
X+y=110
26.6+y=110
Y=110-26.6
Y=83.4
26.6 small boxes, 83.4 large
Let x=large boxes and y=small boxes.
x+y=110
60x+35y=5100
____________
You need to cancel out one of the variables to solve for one. Let's cancel out y.
-35(x+y=110)
-35x-35y=-3850
60x+35y=5100
____________
Add the two equations.
25x=1250
x=50
_____________
Plug in 50 for x into one of the equations to solve for y.
50+y=110
y=60
_____________
50 large boxes
60 small boxes
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