Question

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

shipped in small boxes and large boxes. Each small box of paper weighs 50 pounds
and ench large box of paper weighs 8o pounds. A total of 19 boxes of paper were
shipped weighing 1280 pounds altogether, Determine the number of small boxes
shipped and the number of large boxes shipped,

Answer 1

Small boxes: 8

Large boxes: 11

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!