document.write( "Question 1025644: Miguel is selling tickets to a barbecue. Adult tickets cost 6.00 and children’s tickets cost 4.00. He sells six ore children’s tickets than adult tickets. The total amount of money he collects is 184. How many adult tickets and how many children tickets did he sell? \n" ); document.write( "

Algebra.Com's Answer #640937 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = number of adult tickets sold
\n" ); document.write( "Let $\"+b+\"$ = number of children's tickets sold
\n" ); document.write( "---------------------------------------
\n" ); document.write( "(1) $\"+b+=+a+%2B+6+\"$
\n" ); document.write( "(2) $\"+6a+%2B+4b+=+184+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "(2) $\"+3a+%2B+2b+=+92+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+-a+%2B+b+=+6+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+3+\"$
\n" ); document.write( "and add the equations
\n" ); document.write( "(2) $\"+3a+%2B+2b+=+92+\"$
\n" ); document.write( "(1) $\"+-3a+%2B+3b+=+18+\"$
\n" ); document.write( "-------------------
\n" ); document.write( " $\"+5b+=+110+\"$
\n" ); document.write( " $\"+b+=+22+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+b+=+a+%2B+6+\"$
\n" ); document.write( "(1) $\"+22+=+a+%2B+6+\"$
\n" ); document.write( "(1) $\"+a+=+16+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "He sold 16 adult tickets and 22 children's tickets
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( "2) $\"+6a+%2B+4b+=+184+\"$
\n" ); document.write( "(2) $\"+6%2A16+%2B+4%2A22+=+184+\"$
\n" ); document.write( "(2) $\"+96+%2B+88=+184+\"$
\n" ); document.write( "(2) $\"+184+=+184+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );