A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The

Question

3 years ago

6

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The

volume of each small box is 7 cubic feet and the volume of each large box is 13 cubic feet. A total of 26 boxes of paper were shipped with a combined volume of 254 cubic feet. Determine the number of small boxes shipped and the number of large boxes shipped

Mathematics

1 answer:

snow_tiger [21] · Answer 1 · 2022-01-10T18:28:14+03:00

Answer: the number of small boxes shipped is 14 and the number of large boxes shipped is 12.

Step-by-step explanation:

Let x represent the number of small boxes shipped and

Let y represent the number of large boxes shipped.

A total of 26 boxes of paper were shipped. This means that

x + y = 26

The volume of each small box is 7 cubic feet and the volume of each large box is 13 cubic feet. The combined volume of small and large boxes shipped is

7x + 13y = 254 - - - - - - - - - - - - - - - -1

Substituting x = 26 - y into equation 1, it becomes

7(26 - y) + 13y = 254

182 - 7y + 13y = 254

- 7y + 13y = 254 - 182

6y = 72

y = 72/6 = 12

x = 26 - y = 26 - 12

x = 14