Question

some large frames for $14 each and some small frames for $4 each at a closeout sale. If she bought 16 frames for $114, find how many of each type she bought

Answer 1

11 small frames, 5 large frames

Explanation:

small: x

large : y

x + y = 16

4x + 14y = 114

Multiply first equation by 4 and subtract.

4x + 4y = 64

-(4x + 14y = 114)

-10y = -50

y = 5

Substitute y into the first equation.

x + 5 = 16

x = 11