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 10 cubic feet and the volume of each large box is 24 cubic feet. A total of 23 boxes of paper were shipped with a combined volume of 426 cubic feet. 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.

Question

05-01-2020
Mathematics

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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 10 cubic feet and the volume of each large box is 24 cubic feet. A total of 23 boxes of paper were shipped with a combined volume of 426 cubic feet. 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.

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absor201 absor201 · Answer 1 · 2020-01-11T14:23:29+01:00

x+y=23 and 10x+24y=426 can be used to determine the number of small and large boxes shipped where x represents the number of small boxes and y represent the number of large boxes.

Step-by-step explanation:

Given,

Volume of small box = 10 cubic feet

Volume of large box = 24 cubic feet

Total boxes shipped = 23

Combined volume = 426 cubic feet

Let,

x represent the number of small boxes.

y represent the number of large boxes.

x+y=23

10x+24y=426

x+y=23 and 10x+24y=426 can be used to determine the number of small and large boxes shipped where x represents the number of small boxes and y represent the number of large boxes.

Keywords: linear equation, addition

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