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 c
Question
1 Answer

1. User Answers absor201
10 small boxes and 11 large boxes were shipped.
Stepbystep explanation:
Given,
Total boxes shipped = 21
Total volume of shipped boxes = 342 cubic feet
Volume of each small box = 10 cubic feet
Volume of each large box = 22 cubic feet
Let,
Number of small boxes = x
Number of large boxes = y
According to given statement;
x+y=21 Eqn 1
10x+22y=342 Eqn 2
Multiplying Eqn 1 by 10
[tex]10(x+y=21)\\10x+10y=210\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](10x+22y)(10x+10y)=342210\\10x+22y10x10y=132\\12y=132[/tex]
Dividing both sides by 12
[tex]\frac{12y}{12}=\frac{132}{12}\\y=11[/tex]
Putting y=11 in Eqn 1
[tex]x+11=21\\x=2111\\x=10[/tex]
10 small boxes and 11 large boxes were shipped.
Keywords: linear equation, subtraction
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