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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. Each small box of paper weighs 50 pounds and each large box of paper weighs 75 pounds. A total of 21 boxes of paper were shipped weighing 1400 pounds altogether. Determine the number of small boxes shipped and the number of large boxes shipped

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absor201

7 small boxes and 14 large boxes were shipped.

Step-by-step explanation:

Given,

Weight of small box = 50 pounds

Weight of large box = 75 pounds

Total boxes shipped = 21

Weight of shipped boxes = 1400 pounds

Let,

x represent the number of small boxes.

y represent the number of large boxes.

According to given statement;

x+y=21      Eqn 1

50x+75y=1400     Eqn 2

Multiplying Eqn 1 by 50

[tex]50(x+y=21)\\50x+50y=1050\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](50x+75y)-(50x+50y)=1400-1050\\50x+75y-50x-50y=350\\25y=350[/tex]

Dividing both sides by 25

[tex]\frac{25y}{25}=\frac{350}{25}\\y=14[/tex]

Putting y=14 in Eqn 1

[tex]x+14=21\\x=21-14\\x=7[/tex]

7 small boxes and 14 large boxes were shipped.

Keywords: linear equation, elimination method

Learn more about elimination method at:

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