Answer:
The Answer is: There were 8 small boxes and 14 large boxes.
Step-by-step explanation:
Let s = small boxes and let b = large boxes.
s + b = 22
Solve for s:
s = 22 - b
$4 times the number of small boxes plus $12 times the number of large boxes is equal to $200. Set up the equation:
4(s) + 12(b) = 200
Substitute:
4(22 - b) + 12b = 200
88 - 4b + 12b = 200
88 + 8b = 200
8b = 112
b = 14 large boxes
Now solve for the number of small boxes:
s = 22 - b
s = 22 - 14 = 8 small boxes
There were 8 small boxes and 14 large boxes.
Proof:
4(s) + 12(b) = 200
4(8) + 12(14) = 200
32 + 168 = 200
200 = 200
