A women bought some large frames for $16 each and some small frames for $9 each at a close out sale. If she bought 16 frames for $165, find how many of each type she bought.

3 large, 13 small

Step-by-step explanation:

large: x

small: y

x + y = 16

16x + 9y = 165

Multiply first equation by 9 and subtract the equations.

9x + 9y = 144

- (16x + 9y = 165)

-7x = - 21

x = 3

Now substitute this x value into the first equation

x + y = 16

3 + y = 16

y = 13