SOLUTION: in a frame store a large frame cost 14 dollars and a small cost 9 dollars. a women came in the store purchasing 25 frames. the total of the frames came to 255. how many large frame

Algebra ->  Inequalities -> SOLUTION: in a frame store a large frame cost 14 dollars and a small cost 9 dollars. a women came in the store purchasing 25 frames. the total of the frames came to 255. how many large frame      Log On


   



Question 687994: in a frame store a large frame cost 14 dollars and a small cost 9 dollars. a women came in the store purchasing 25 frames. the total of the frames came to 255. how many large frames were there and how many small frames were there?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the number of large frames
Let +b+ = the number of small frames
given:
(1) +a+%2B+b+=+25+
(2) +14a+%2B+9b+=+255+
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Multiply both sides of (1) by +9+
and subtract (1) from (2)
(2) +14a+%2B+9b+=+255+
(1) +-9a+-+9b+=+-225+
+5a+=+0+
+a+=+0+
and, since
(1) +a+%2B+b+=+25+
(1) +0+%2B+b+=+25+
(1) +b+=+25+
There were 25 small frames and no large frames
(2) +14a+%2B+9b+=+255+
(2) +14%2A0+%2B+9%2A25+=+255+
(2) +9%2A25+=+225+
(2) +225+=+225+
OK