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 L0 and S0 to represent the information above.

Question

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.

anonymous · Answer

$$8L+3S \le 84$$
and
$$L+S \le18$$

itiaax · Answer

Hey, can you explain how you got that answer?

anonymous · 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.

anonymous · Answer

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.

anonymous · Answer

Does that make sense?

itiaax · Answer

Yes, it does. Thank you so much :)

anonymous · Answer

You are very welcome :)