document.write( "Question 109895: Use a system of equations to solve each problem\r
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document.write( "13. Adult tickets for the school musical sold for $3.50 and student tickets sold for $2.50. 321 tickets were sold altogether for $937.50. How many of each kind of ticket were sold? \n" );
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Algebra.Com's Answer #80149 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Adult tickets for the school musical sold for $3.50 and student tickets sold for $2.50. 321 tickets were sold altogether for $937.50. How many of each kind of ticket were sold? \n" ); document.write( ": \n" ); document.write( "Let a = no. of adult tickets \n" ); document.write( "Let s = no. of student tickets \n" ); document.write( ": \n" ); document.write( "It said \"a total of 321 tickets were sold\", therefore: \n" ); document.write( " a + s = 321 \n" ); document.write( "or \n" ); document.write( "s = (321 - a) \n" ); document.write( ": \n" ); document.write( "It said total revenue was 937.50 \n" ); document.write( "3.5a + 2.5s = 937.50 \n" ); document.write( ": \n" ); document.write( "In the above equation, substitute (321-a) for s; find a: \n" ); document.write( "3.5a + 2.5(321-a) = 937.50 \n" ); document.write( ": \n" ); document.write( "3.5a + 802.5 - 2.5a = 937.50 \n" ); document.write( ": \n" ); document.write( "3.5a - 2.5a = 937.5 - 802.5 \n" ); document.write( ": \n" ); document.write( "a = 135 adults \n" ); document.write( ": \n" ); document.write( "s = 321 - 135 = 186 students \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check our solutions: \n" ); document.write( "3.5(135) + 2.5(186) = \n" ); document.write( "472.5 + 465 = 937.50 \n" ); document.write( " \n" ); document.write( " |