document.write( "Question 1041234: a woman bought some large frames for $14 each and some small frames for $7 each at a closeout sale. if sale bought 27 frames for $245, find how many of each type she bought \n" ); document.write( "

Algebra.Com's Answer #656215 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = number of large frames she bought
\n" ); document.write( "Let $\"+b+\"$ = number of small frames she bought
\n" ); document.write( "--------------------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+27+\"$
\n" ); document.write( "(2) $\"+14a+%2B+7b+=+245+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "There are 2 equations and 2 unknowns
\n" ); document.write( "so it's solvable
\n" ); document.write( "---------------
\n" ); document.write( "Multiply both sides of (1) by $\"+7+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+14a+%2B+7b+=+245+\"$
\n" ); document.write( "(1) $\"+-7a+-+7b+=+-189+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( " $\"+7a+=+56+\"$
\n" ); document.write( " $\"+a+=+8+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+27+\"$
\n" ); document.write( "(1) $\"+8+%2B+b+=+27+\"$
\n" ); document.write( "(1) $\"+b+=+19+\"$
\n" ); document.write( "------------------
\n" ); document.write( "She bought 8 large frames and 19 small frames
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+14a+%2B+7b+=+245+\"$
\n" ); document.write( "(2) $\"+14%2A8+%2B+7%2A19+=+245+\"$
\n" ); document.write( "(2) $\"+112+%2B+133+=+245+\"$
\n" ); document.write( "(2) $\"+245+=+245+\"$
\n" ); document.write( "OK \n" ); document.write( "

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