document.write( "Question 432960: 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 #300090 by Lstark01(4)![]() ![]() ![]() You can put this solution on YOUR website! your 2 equations to solve this are: \n" ); document.write( "A + C = 370 \n" ); document.write( "5.00A + 3.50C = 1415.00\r \n" ); document.write( "\n" ); document.write( "In the first equation, if you subtract C from both sides you get: \n" ); document.write( "A = 370 - C\r \n" ); document.write( "\n" ); document.write( "substitute this in for the second equation.\r \n" ); document.write( "\n" ); document.write( "5.00(370-C) + 3.50C = 1415.00 \n" ); document.write( "1850 - 5.00C + 3.50C = 1415.00 \n" ); document.write( "1850 - 1.5C = 1415.00 \n" ); document.write( "-1850 on both sides \n" ); document.write( "-1.5C = -435.00 \n" ); document.write( "Divide by -1.5 on both sides \n" ); document.write( "C = 290 children tickets.\r \n" ); document.write( "\n" ); document.write( "Then: \n" ); document.write( "A + 290 = 370 \n" ); document.write( "Subtract 290 from both sides \n" ); document.write( "A = 80 adult tickets were sold.\r \n" ); document.write( "\n" ); document.write( "If you want to check your work: \n" ); document.write( "5.00(80) + 3.50(290) = 1415.00 \n" ); document.write( "400.00 + 1015 = 1415.00 \n" ); document.write( "1415.00 = 1415.00 \n" ); document.write( " |