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