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# System of Equations from Context

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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 9 cubic feet and the volume of each large box is 24 cubic feet. A total of 24 boxes of paper were shipped with a combined volume of 441 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.

May 28, 2021

#1
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b = large box                         volume = 24 b

s = small box =    24 - b         volume = 9 ( 24-b)

Summed the volumes = 441 ft3

24 b     +    9 ( 24-b)     = 441

now you should be able to solve for b, the number of large boxes, then small boxes = 24 - b

May 28, 2021

#1
+2

b = large box                         volume = 24 b

s = small box =    24 - b         volume = 9 ( 24-b)

Summed the volumes = 441 ft3

24 b     +    9 ( 24-b)     = 441

now you should be able to solve for b, the number of large boxes, then small boxes = 24 - b

ElectricPavlov May 28, 2021