The first thing we must do for this case is to define variables.
We have then:
x: weight of the big box
y: weight of the small box.
We now write the system of equations that models the problem:
[tex]8x + 4y = 177
3x + 2y = 73[/tex]
We apply the graphic solution.
For this, the solution will be the cut point of both lines.
We have then that the solution occurs for the point:
[tex](x, y) = (15.5, 13.25)
[/tex]
Note: see attached image
Answer:
Weight of each large box: 15.5 Kilograms
Weight of each small box: 13.25 Kilograms
