A woman bought some large frames for ​$14 each and some small frames for ​$4 each at a closeout sale. If she bought frames for ​$​150, find how many of each type she bought.

Answer 1

Does the problem not state how many total frames she bought?

Just by trial and error I get that she bought 7 of the big frames that cost $14 and 13 of the small frames that cost $4.

The process should be

X+Y=T <----Eq(1)

Where,

X=number of big frames bought

Y=number of small frames bought

T= total of number of frames bought

Where T is given:

14X+4Y=150(T) <-----Eq(2)

Then you can solve Eq(1) for either in terms of X or Y and plug into Eq(2):

You will get the number of frames for either X or Y depending which you solved for then plug that into Eq(1) to solve for the number of frames of the other.