document.write( "Question 1096650: Last Tuesday Regal Cinemas sold a total of 8500 movie tickets. Proceeds totalled $64600. Tickets can be bought in one of the three ways. A matinee admission costs $5, student admission is $6 all day, regular admissions are $8.50. How many of each type were sold if twice as many student tickets were sold as matinee tickets? \n" ); document.write( "

Algebra.Com's Answer #805189 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "Last Tuesday Regal Cinemas sold a total of 8500 movie tickets. Proceeds totalled $64600.
\n" ); document.write( "Tickets can be bought in one of the three ways. A matinee admission costs $5, student admission is $6 all day,
\n" ); document.write( "regular admissions are $8.50. How many of each type were sold if twice as many student tickets were sold as matinee tickets?
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\n" ); document.write( "\n" ); document.write( " It is a typical problem to be solved using only one single unknown.\r
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document.write( "Let x be the number of the matinee tickets.\r\n" );
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document.write( "Then the number of the student tickets is 2x,\r\n" );
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document.write( "and the number od the regular admission tickets is  (8500-x-2x) = (8500-3x).\r\n" );
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document.write( "Now you write the total money equation (the revenue)\r\n" );
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document.write( "    5x + 6*(2x) + 8.50*(8500-3x) = 64600  dollars.\r\n" );
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document.write( "Simplify and solve for x\r\n" );
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document.write( "    5x + 12x - 8.50*3*x         = 64600 - 8.50*8500\r\n" );
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document.write( "         x                      =  = 900.\r\n" );
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document.write( "ANSWER.  900 matinee tickets;  2*900 = 1800  student tickets  and the rest, 8500-900-1800 = 5800, were the regular admission tickets.\r\n" );
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document.write( "CHECK.  900*5 + 1800*6 + 5800*8.50 = 64600 dollars, in total.    ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "From my post, learn how to solve such problems using one single unknown variable, only.\r
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\n" ); document.write( "\n" ); document.write( "It is the major lesson to learn from my solution.\r
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