Solve System of Equations from Context Nov 10,9:07:21 AM 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 25 pounds and each large box of paper weighs 65 pounds. A total of 23 boxes of paper were shipped weighing 1135 pounds altogether. Determine the number of small boxes shipped and the number of large boxes shipped.

The Answer is: There were 14 large boxes and 9 small boxes.

Step-by-step explanation:

s is for Small boxes. b is for Large boxes.

25 lbs times the number of small boxes plus 65 times the number of large boxes is equal to 1135 lbs

25s + 65b = 1135

The sum of the number of small and large boxes is equal to 23

s + b = 23

Solve for s:

s = 23 - b

Substitute in the equation and solve for b:

25 (23-b) + 65b = 1135

575 - 25b + 65b = 1135

575 + 40b = 1135

40b = 1135 - 575

40b = 560

b = 560 / 40 = 14 boxes

Now that we have the number of b boxes, substitute:

s = 23 - b

s = 23 - 14 = 9 boxes

Proof:

25s + 65b = 1135

25 (9) + 65 (14) = 1135

225 + 910 = 1135

1135 = 1135