document.write( "Question 196606: Elisa sold 110 tickets for the football game. Adult tickets cost $4.00 and student tickets cost $2.oo. If she collected $340, how many of each kind ot ticket did she sell?\r
\n" );
document.write( "\n" );
document.write( "a. Define the two variables for this problem and then write two equations for the problem.\r
\n" );
document.write( "\n" );
document.write( "b. Solve the system of equations you wrote above to find how many adult and student tickets were sold. \n" );
document.write( "
Algebra.Com's Answer #147387 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Elisa sold 110 tickets for the football game. Adult tickets cost $4.00 and \n" ); document.write( "student tickets cost $2.oo. \n" ); document.write( " If she collected $340, how many of each kind of ticket did she sell? \n" ); document.write( ": \n" ); document.write( "a. Define the two variables for this problem and then write two equations for the problem. \n" ); document.write( "Let a = no. of adult tickets sold \n" ); document.write( "Let s = no. of student tickets sold \n" ); document.write( ": \n" ); document.write( "Total tickets sold equation: \n" ); document.write( "a + s = 110 \n" ); document.write( ": \n" ); document.write( "Total amt$ collected equation: \n" ); document.write( "4a + 2s = 340 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "b. Solve the system of equations you wrote above to find how many adult and \n" ); document.write( " student tickets were sold. \n" ); document.write( ": \n" ); document.write( "Using the 1st equation for substitution \n" ); document.write( "s = (110-a) \n" ); document.write( "Substitute for s in the 2nd equation \n" ); document.write( "4a + 2(110-a) = 340 \n" ); document.write( "4a + 220 - 2a = 340 \n" ); document.write( "4a + 2a = 340 - 220 \n" ); document.write( "2a = 120 \n" ); document.write( "a = \n" ); document.write( "a = 60 adult tickets sold \n" ); document.write( "then \n" ); document.write( "s = 110 - 60 \n" ); document.write( "s = 50 student tickets sold \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solutions using the 2nd equation: \n" ); document.write( "4(60) + 2(50) = \n" ); document.write( "240 + 100 = 240 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Did this make \"perfect sense\" to you? Let me know, please. Carl \n" ); document.write( " |