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 85 pounds. There were 2 more small boxes shipped than large boxes and the total weight of all boxes was 1180 pounds. Determine the number of small boxes shipped and the number of large boxes shipped.

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RhondaSommer RhondaSommer · Answer 1 · 2019-11-14T14:23:59+01:00

Answer:

Large boxes = 8 Small boxes = 10

Step-by-step explanation:

This took me a while to remember how to do it has been so long!

First, look at just the boxes. Not the weights.

Large boxes + (Small boxes + 2) = Total

Lets use x for boxes.

[tex]x + (x+2) = y[/tex]

now lets factor in weight were total weight equals "y" and pounds of boxes is multiplied by the respective box.

[tex]85x + 50(x+2) = 1180[/tex]

[tex]85x + 50x+ 100 = 1180\\135x+100=1180\\135x+100-100=1180-100\\135x=1080\\\frac{135x}{135} = \frac{1080}{135} \\x=8[/tex]

but remember when we were just looking at the boxes?

Large boxes + (Small boxes + 2) = Total

where large box = x and small box = x+2

this means

large box = 8 and small box = 8+2 = 10

Hope this helps!