*4.3.11 A woman bought some large frames for $11 each and some small frames for $8 each at a closeout sale. If she bought 26 frames for $232, find how many of each type she bought.

She bought 8 large frames and 18 small frames of each type.

Step-by-step explanation:

Given:

A woman bought some large frames for $11 each and some small frames for $8 each at a closeout sale.

If she bought 26 frames for $232.

Now, to find each type she bought.

Let the number of large frames for $11 be

And let the number of small frames for $8 be

So, the total number of frames:

Now, the total cost of frames:

Substituting the value of from equation (1) we get:

Subtracting both by sides 286 we get:

Dividing both sides by -3 we get:

The number of small frames = 18.

Now, substituting the value of in equation (1) to get the value of :

The number of large frames = 8.

Therefore, she bought 8 large frames and 18 small frames of each type.