Question

A paper company needs to ship paper to a large printing business. The paper will be

Answer 1

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!