Karen karlin bought some large frames for $15 each and some small frames for $8 each at a closeout sale. if she bought 22 frames for $239, find how many of each type she bought.

small frames ($8): s

large frames ($15): L

Cost:        8s + 15L = 239   ⇒ 1(8s + 15L = 239)   ⇒    8s + 15L = 239  

Quantity:   s  +   L   = 22   ⇒  -8( s  +   L   = 22)   ⇒   -8s   -8 L  = -176

                                                                                               7L  = 63

                                                                                                  L = 9

Quantity:   s + L = 22 ⇒   s + (9) = 22   ⇒   s = 13

13 small frames, 9 Large frames

5050

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