Answer:
Small boxes: 8
Large boxes: 11
Step-by-step explanation:
number of small boxes = x
number of large boxes = y
weight of boxes is represented by:
50x + 80y = 1280
Number of boxes is represented by:
x + y = 19
First, we'll solve for x in terms of y:
x = 19-y
Then we'll substitute that into the weight equation
50(19-y) + 80y = 1280
950 - 50y + 80y = 1280
30y = 330
y = 11
Now drop that numerical value into the number of boxes equation, and we'll get
x + 11 = 19
x = 8
Check the math in the weight equation:
50(8) + 80(11) =
400 + 880 = 1280
Let me know if you have any questions. Have a good evening!
