document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #425479 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = the number of large frames
\n" ); document.write( "Let $\"+b+\"$ = the number of small frames
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+25+\"$
\n" ); document.write( "(2) $\"+14a+%2B+9b+=+255+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+9+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+14a+%2B+9b+=+255+\"$
\n" ); document.write( "(1) $\"+-9a+-+9b+=+-225+\"$
\n" ); document.write( " $\"+5a+=+0+\"$
\n" ); document.write( " $\"+a+=+0+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+25+\"$
\n" ); document.write( "(1) $\"+0+%2B+b+=+25+\"$
\n" ); document.write( "(1) $\"+b+=+25+\"$
\n" ); document.write( "There were 25 small frames and no large frames
\n" ); document.write( "(2) $\"+14a+%2B+9b+=+255+\"$
\n" ); document.write( "(2) $\"+14%2A0+%2B+9%2A25+=+255+\"$
\n" ); document.write( "(2) $\"+9%2A25+=+225+\"$
\n" ); document.write( "(2) $\"+225+=+225+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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