A paper company needs to ship paper to a large shipping business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 6 cubic feet and the volume of each large box is 12 cubic feet.

x =  2 y
190  = 10 y + 18 x  :
where, x = Number of large boxes, y = number of small boxes
Step-by-step explanation:
Let us assume the number of large boxes shipped  = x
So, the number of small boxes shipped  =  y
⇒   x =  2(times y) =  2 y, or x = 2 y
Now, the volume of 1 small box =  10 cubic feet
So, the volume of y small boxes = y ( Volume of 1 small box)
                                                     = y ( 10) = 10 y
Now, the volume of 1 large box =  18 cubic feet
So, the volume of x large boxes = x ( Volume of 1 large box)
                                                     = x( 18) = 18 x
Total Volume Transferred = Volume of {Small boxes + Large boxes}
or,  190 cubic feet = 10 y + 18 x
So, the needed system of equations is:
x =  2 y
190  = 10 y + 18 x  :
where, x = Number of large boxes, y = number of small boxes

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