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A firm uses a combination of large and small boxes to package the items it produces. Large boxes can hold 8 items. Small boxes can hold 3 items. The firm wishes to package 84 or less items using no more than 18 boxes. Let L represent the number of large boxes used and S, the number of small boxes used. Write down two inequalities, other than L>0 and S>0 to represent the information above.

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\[8L+3S \le 84\] and \[L+S \le18\]
Hey, can you explain how you got that answer?
Okay, so you know that large boxes (L) can hold 8 items and small boxes (S) can hold 3 items. You want to pack no more than (so less than or equal to) 84 items.

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Other answers:

That's how you get the first equation. For the second equation you want to pack all of the items in no more than (less than or equal to) 18 boxes. So the large boxes (L) plus small boxes (S) is less than or equal to 18.
Does that make sense?
Yes, it does. Thank you so much :)
You are very welcome :)

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