document.write( "Question 1147770: a jazz concert brought in $178000 on the sale of $8600 tickets. if the tickets sold for $15 each and $25 each, how many of each type of ticket were sold \n" ); document.write( "

Algebra.Com's Answer #769106 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = number of $15 tickets sold
\n" ); document.write( "Let $\"+b+\"$ = number of $25 tickets sold
\n" ); document.write( "----------------------------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+8600+\"$
\n" ); document.write( "(2) $\"+15a+%2B+25b+=+178000+\"$
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(2) $\"+3a+%2B+5b+=+35600+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"5\"$
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) $\"+5a+%2B+5b+=+43000+\"$
\n" ); document.write( "(2) $\"+-3a+-+5b+=+-+35600+\"$
\n" ); document.write( "-----------------------------------
\n" ); document.write( " $\"+2a+=+7400+\"$
\n" ); document.write( " $\"+a+=+3700+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+3700+%2B+b+=+8600+\"$
\n" ); document.write( "(1) $\"+b+=+4900+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "3700 $15 tickets sold
\n" ); document.write( "4900 $25 tickets sold
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+15a+%2B+25b+=+178000+\"$
\n" ); document.write( "(2) $\"+15%2A3700+%2B+25%2A4900+=+178000+\"$
\n" ); document.write( "(2) $\"+55500+%2B+122500+=+178000+\"$
\n" ); document.write( "(2) $\"+178000+=+178000+\"$
\n" ); document.write( "OK \n" ); document.write( "

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