document.write( "Question 1057504: Tickets to a production of A Midsummer Night's Dream at Broward College cost $5 for general admission or $4 with a student ID. If 184 people paid to see a performance and $812 was collected, how many of each type of ticket were sold? \n" ); document.write( "

Algebra.Com's Answer #672542 by ikleyn(52875) $\"\"$ $\"About$

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\n" ); document.write( "Tickets to a production of A Midsummer Night's Dream at Broward College cost $5 for general admission or $4 with a student ID.
\n" ); document.write( "If 184 people paid to see a performance and $812 was collected, how many of each type of ticket were sold?
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document.write( "One approach is to write the system of two equations\r\n" );
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document.write( " x +  y = 184   (1)   (for the number of people / or tickets sold)\r\n" );
document.write( "5x + 4y = 812   (2)   (for the amount collected).\r\n" );
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document.write( "And then solve it by any method you know (substitution, for example).\r\n" );
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document.write( "The other approach is to write a unique (a single) equation for the number of students y, for example.\r\n" );
document.write( "The equation is\r\n" );
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document.write( "5(184-y) + 4y = 812   (for the amount collected).\r\n" );
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document.write( "Now simplify and solve it.\r\n" );
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