a woman bought some large frames for $13 each and some small frames for $8 each at a closet sale. If she bought 27 frames for $256, how many of each type she bought

Answer 1

Large = 8

Small = 19

8+19 =27

13L + 8S = 256

13(8) + 8(19) = 256

104 + 152 = 256

L+S = 27

multiply by 8 to get

8L + 8S = 216

now subtract that from

13L + 8S = 256 to get

5L = 40

L = 40/5 = 8

S = 27-L = 27-8 = 19