document.write( "Question 646646: Mr. Avila took his four children to the trade exhibit.The total cost of their admission tickets was $135.Mr. and Mrs. Santos and their six children had to pay $220.What was the cost of an adult ticket and that of the child's ticket? \n" ); document.write( "

Algebra.Com's Answer #405901 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = the cost of an adult ticket
\n" ); document.write( "Let $\"+c+\"$ = the cost of a child's ticket
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+4c+=+135+\"$
\n" ); document.write( "(2) $\"+2a+%2B+6c+=+220+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Divide both sides of (2) by $\"+2+\"$
\n" ); document.write( "(2) $\"+a+%2B+3c+=+110+\"$
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "(1) $\"+a+%2B+4c+=+135+\"$
\n" ); document.write( "(2) $\"+-a+-+3c+=+-110+\"$
\n" ); document.write( " $\"+c+=+25+\"$
\n" ); document.write( "plug this result back into either (1) or (2)
\n" ); document.write( "(2) $\"+a+%2B+3%2A25+=+110+\"$
\n" ); document.write( "(2) $\"+a+%2B+75+=+110+\"$
\n" ); document.write( "(2) $\"+a+=+35+\"$
\n" ); document.write( "An adult ticket is $35 and a child's ticket is $25
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+a+%2B+4c+=+135+\"$
\n" ); document.write( "(1) $\"+35+%2B+4%2A25+=+135+\"$
\n" ); document.write( "(1) $\"+35+%2B+100+=+135+\"$
\n" ); document.write( "(1) $\"+135+=+135+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );