Match the following situation with one of the linear systems. Lewis wants to acquire at most 12 packages of baseball cards. Some packages have 4 rookie cards and some have only 3. In all, there are at most 38 rookie cards.
A.

B.

C.

D.

Question

Match the following situation with one of the linear systems. Lewis wants to acquire at most 12 packages of  baseball cards. Some packages have 4 rookie cards and some have only 3. In all, there are at most 38 rookie cards. 
A.

B.

C.

D.

anonymous · Answer

Your answer choices are blank

anonymous · Answer

If we define y as the number of 4 rookie card packs he buys and x as the number of 3 rookie card packs he buys.... clearly:
$$4y+3x \le 38$$ And since he wants to buy at most 12 packs of cards:
$$x+y \le 12$$
Assuming the card packs come in integer numbers (a fair assumption).  This systems has solutions (x,y)=(2,8) & (6,5) & (10,2)