Jude is placing boxes on a shelf that holds up to 80 lb. He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each. Jude needs at least 4 small boxes on the shelf.
We will call "x" the number of small boxes and "y" the number of large boxes.
So the inequalities that model this situation are:
y ≥ 0 The number of large boxes can be any quantity.
5x + 12y ≤ 80 The total weight of the small(5x lb) and large(12y lb) boxes must be less than or equal to 80 lb.
x ≥ 4 The number of small boxes must be equal to or greater than 4 units.
