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 each large box of paper weighs 80 pounds. There were 4 more large boxes
shipped than small boxes and the total weight of all boxes was 1750 pounds. Write a
system of equations that could be used to determine the number of small boxes
shipped and the number of large boxes shipped. Define the variables that you use to
write the system.

Answer 1

The system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped are:

50x+80y=1750

y = x+4 ,

where x represent the number of small boxes of paper and y represent the number of large boxes of paper.

We have:

Weight of small box of paper = 50 pounds

Weight of large box of paper = 80 pounds

Total weight of boxes = 1750 pounds

Let us consider that the number of small boxes of papers be x.

The number of large boxes of papers be y.

Then, according to question

50x+80y=1750

y = x+4

Therefore, the equations 50x+80y=1750 and y = x+4 can be used to determine the number of small boxes and large boxes of paper shipped.

where, x represent the number of small boxes of paper and y represent the number of large boxes of paper.