A woman bought some large frames for $\$ 16$ each and some small frames for $\$ 8$ each at a closeout sale. If she bought 16 frames for $\$ 152$, find how many of each type she bought. She bought $\square$ large frames. She bought $\square$ smalt frames.

Step 1 ：Let's denote the number of large frames as x and the number of small frames as y.

Step 2 ：From the problem, we have two equations: \(x + y = 16\) and \(16x + 8y = 152\).

Step 3 ：Solving this system of equations, we find that \(x = 3\) and \(y = 13\).

Step 4 ：This means the woman bought 3 large frames and 13 small frames.

Step 5 ：Final Answer: She bought \(\boxed{3}\) large frames. She bought \(\boxed{13}\) small frames.