document.write( "Question 1051163: A woman bought large frames for $10 and small frames for $5 each at a sale. If she bought 11 frames for $70 how many of each frame did she buy? \n" ); document.write( "

Algebra.Com's Answer #666742 by Tatiana_Stebko(1539) $\"\"$ $\"About$

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Let x be the number of large frames,
\n" ); document.write( "y be the number of small frames,
\n" ); document.write( "Since she bought 11 frames, then $\"x%2By=11\"$
\n" ); document.write( "Woman spent $ $\"10x\"$ on all large frames and $ $\"5y\"$ on small frames
\n" ); document.write( " $\"10x%2B5y=70\"$
\n" ); document.write( "The system of equations is
\n" ); document.write( " $\"system%28x%2By=11%2C+10x%2B5y=70%29\"$
\n" ); document.write( "Divide the second equation by 5
\n" ); document.write( " $\"system%28y=11-x%2C+2x%2By=14%29\"$
\n" ); document.write( "Substitute $\"y=11-x\"$ into the second equation
\n" ); document.write( " $\"2x%2B11-x=14\"$
\n" ); document.write( " $\"x=14-11\"$
\n" ); document.write( " $\"x=3\"$
\n" ); document.write( "Substitute $\"x=3\"$ into the first equation
\n" ); document.write( " $\"y=11-3\"$
\n" ); document.write( " $\"y=8\"$
\n" ); document.write( "Womann bought 3 large and 8 small frames\r
\n" ); document.write( "\n" ); document.write( "Answer: 3 large and 8 small frames
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