document.write( "Question 1059141: adult tickets to play cost $22. TIckets for children cost $15. TIckets for a group of 11 people cost a total of $228. Write and solve a system of equations to find how many children and how many adults were in the group \n" ); document.write( "
Algebra.Com's Answer #674215 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = number of adults
\n" ); document.write( "Let \"+b+\" = number of children
\n" ); document.write( "-------------------------------
\n" ); document.write( "(1) \"+a+%2B+b++=+11+\"
\n" ); document.write( "(2) \"+22a+%2B+15b+=+228+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "To solve, multiply both sides of (1) by \"+15+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+22a+%2B+15b+=+228+\"
\n" ); document.write( "(1) \"+-15a+-+15b+=+-165+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "\"+7a+=+63+\"
\n" ); document.write( "\"+a+=+9+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b++=+11+\"
\n" ); document.write( "(1) \"+9+%2B+b+=+11+\"
\n" ); document.write( "(1) \"+b+=+2+\"
\n" ); document.write( "There are 2 children and 9 adults
\n" ); document.write( "
\n" ); document.write( "
\n" );