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 weigh 35 pounds and each large box of paper weighs 65 pounds. A total of 22 boxes of paper were shipped weighing 1040 pounds altogether. Determine the number of small boxes shipped and the number of large boxes shipped.

Answer 1

Answer: 13 small boxes and 9 large boxes were shipped.

Step-by-step explanation:

Let x represent the number of small boxes shipped.

Let y represent the number of large boxes shipped.

A total of 22 boxes of paper were shipped. It means that

x + y = 22

Each small box of paper weigh 35 pounds and each large box of paper weighs 65 pounds. The total weight of the boxes that were shipped is 1040 pounds. It means that

35x + 65y = 1040- - - - - - - - - - 1

Substituting x = 22 - y into equation 1, it becomes

35(22 - y) + 65y = 1040

770 - 35y + 65y = 1040

- 35y + 65y = 1040 - 770

30y = 270

y = 270/30

y = 9

x = 22 - y = 22 - 9

x = 13