A paper company needs to ship paper to a large printing business the paper will be shipped in small boxes in large boxes the volume of each small box is 6 ft.³ and the volume of each large box is 22 ft.³ there were two more small boxes shipped in large boxes in the total volume of all boxes was 320 ft.³ write a system of equations that could be used to determine the number of small boxes shipped in the number of large boxes shipped define the variables that you use to write the system.

Question

Mathematics

Darian Mckee

16 June, 15:43

A paper company needs to ship paper to a large printing business the paper will be shipped in small boxes in large boxes the volume of each small box is 6 ft.³ and the volume of each large box is 22 ft.³ there were two more small boxes shipped in large boxes in the total volume of all boxes was 320 ft.³ write a system of equations that could be used to determine the number of small boxes shipped in the number of large boxes shipped define the variables that you use to write the system.

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Elisabeth Barron · Answer 1

9 large boxes

19 small boxes

Step-by-step explanation:

Let 'x' represent the number of large boxes shipped

there were 2 more small boxes shipped in large boxes, i. e. 2x

According to the data, total volume of all boxes was 320 ft.³

Next is to form the equation, that will be

22x + 6. (2x) = 320

22x + 12x = 320

34x = 320

x = 9.4

x ≈ 9 (number of large boxes)

therefore, number of small boxes would be 2x = 18.82 ≈ 19 number of small boxes