document.write( "Question 1027765: tickets to a local movie were sold at $8.00 for adults and $5.00 for students. If 600 tickets were sold for a total of $4116, how many adults tickets were sold? \n" ); document.write( "

Algebra.Com's Answer #642957 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "tickets to a local movie were sold at $8.00 for adults and $5.00 for students. If 600 tickets were sold for a total of $4116, how many adults tickets were sold?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let \"a\" be the number of adult tickets sold.\r\n" );
document.write( "Then the number of student tickets sold is (600-a).\r\n" );
document.write( "\r\n" );
document.write( "The \"value\" equation is\r\n" );
document.write( "\r\n" );
document.write( "8*a + 5*(600-a) = 4116.\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve it:\r\n" );
document.write( "\r\n" );
document.write( "8a + 5*600 - 5a = 4116,\r\n" );
document.write( "\r\n" );
document.write( "3a + 3000 = 4116,\r\n" );
document.write( "\r\n" );
document.write( "3a = 4116 - 3000,\r\n" );
document.write( "\r\n" );
document.write( "3a = 1116,\r\n" );
document.write( "\r\n" );
document.write( "a =  = 372.\r\n" );
document.write( "\r\n" );
document.write( "So, 372 adult tickets were sold.\r\n" );
document.write( "\r\n" );
document.write( "Then the number of student tickets was 600 - 372 = 228.\r\n" );
document.write( "\r\n" );
document.write( "Answer. 372 adult tickets and 228 student tickets were sold.\r\n" );
document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );