document.write( "Question 1092865: Vanessa bought some roses at smiths. Yellow roses cost $3.50/ea and red roses cost $5.50/ea. She ended up buying 12 roses for a total of $52. How many of each color did she buy? \n" ); document.write( "

Algebra.Com's Answer #707554 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = number of red roses
\n" ); document.write( "Let $\"+b+\"$ = number of yellow roses
\n" ); document.write( "----------------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+12+\"$
\n" ); document.write( "(2) $\"+3.5a+%2B+5.5b+=+52+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+3.5+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+3.5a+%2B+5.5b+=+52+\"$
\n" ); document.write( "(1) $\"+-3.5a+-+3.5b+=+-42+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( " $\"+2b+=+10+\"$
\n" ); document.write( " $\"+b+=+5+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+5+=+12+\"$
\n" ); document.write( "(1) $\"+a+=+7+\"$
\n" ); document.write( "------------------
\n" ); document.write( "7 red roses
\n" ); document.write( "5 yellow roses
\n" ); document.write( " \n" ); document.write( "

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