document.write( "Question 1027525: Tickets to a local movie were sold at $5.00 for adults and $3.50 for students. If 370 tickets were sold for a total of $1415.00, how many adult tickets were sold? \n" ); document.write( "

Algebra.Com's Answer #642742 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Tickets to a local movie were sold at $5.00 for adults and $3.50 for students. If 370 tickets were sold for a total of $1415.00, how many adult 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 (370-a).\r\n" );
document.write( "\r\n" );
document.write( "The \"value\" equation is\r\n" );
document.write( "\r\n" );
document.write( "5*a + 3.5*(370-a) = 1415.\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve it:\r\n" );
document.write( "\r\n" );
document.write( "5a + 3.5*370 - 3.5a = 1415,\r\n" );
document.write( "\r\n" );
document.write( "1.5a + 1295 = 1415,\r\n" );
document.write( "\r\n" );
document.write( "1.5a = 1415 - 1295,\r\n" );
document.write( "\r\n" );
document.write( "1.5a = 120,\r\n" );
document.write( "\r\n" );
document.write( "a =  = 80.\r\n" );
document.write( "\r\n" );
document.write( "So, 80 adult tickets were sold.\r\n" );
document.write( "\r\n" );
document.write( "Then the number of student tickets was 370 - 80 = 290.\r\n" );
document.write( "\r\n" );
document.write( "Answer. 80 adult tickets and 290 student tickets were sold.\r\n" );
document.write( "

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

\n" );