document.write( "Question 1109163: The school that Micaela goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 11 adult tickets and 9 student tickets for a total of $138. The school took in $118 on the second day by selling 1 adult ticket and 14 student tickets. Find the price of an adult ticket and the price of a student ticket. \n" ); document.write( "
Algebra.Com's Answer #724189 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The school that Micaela goes to is selling tickets to a spring musical. \n" ); document.write( " On the first day of ticket sales the school sold 11 adult tickets and 9 student tickets for a total of $138. \n" ); document.write( " The school took in $118 on the second day by selling 1 adult ticket and 14 student tickets. \n" ); document.write( " Find the price of an adult ticket and the price of a student ticket. \n" ); document.write( ": \n" ); document.write( "let a = the price of adult tickets \n" ); document.write( "let s = the price of student's \n" ); document.write( ": \n" ); document.write( "Write an equation for each day \n" ); document.write( "11a + 9s = 138.00 \n" ); document.write( "and \n" ); document.write( "1a + 14s = 118.00 \n" ); document.write( "a = (118-14s); use this form for substitution \n" ); document.write( ": \n" ); document.write( "11(118-14s) + 9s = 138 \n" ); document.write( "1298 - 154s + 9s = 138 \n" ); document.write( "-154s + 9s = 138 - 1298 \n" ); document.write( "-145s = -1160 \n" ); document.write( "s = -1160/-145 \n" ); document.write( "s = $8.00 is the student's price \n" ); document.write( "Find a \n" ); document.write( "a = 118 - 14(8) \n" ); document.write( "a = 118 - 112 \n" ); document.write( "a = $6.00 is the adult price \n" ); document.write( ": \n" ); document.write( "Check this using the 1st equation, replace a and s \n" ); document.write( "11a + 9s = 138 \n" ); document.write( "11(6) + 9(8) = \n" ); document.write( "66 + 72 = 138\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |