SOLUTION: A woman bought some large frames for ​$17 each and some small frames for ​$7 each at a closeout sale. If she bought 23 frames for ​$241​, find how many of e
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Question 1108808: A woman bought some large frames for $17 each and some small frames for $7 each at a closeout sale. If she bought 23 frames for $241, find how many of each type she bought.
She bought ____ large frames.
She bought ___ small frames
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
L + S = 23
subtract S from both sides:
L = 23-S
--------------------------
17L + 7S = 241 substitute for L:
17(23-s) + 7S = 241
391 - 17s + 7s = 241
391 - 10S = 241
- 10S = -150 divide both sides by -10, and remember that -/- = + so when you divide just ignore the - signs because your answer will be positive anyway.
s = 15 She bought 15 small frames and
L = 23-S = 23-15 = 8
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