document.write( "Question 1145870: An auditorium has 550 balcony seats and 1800 main- level seats. If tickets for balcony seats will cost 20 dollars less than tickets for main- level seats, what should the prices be for each type of ticket so that the total revenue from a sellout performance will be 97,100? \n" ); document.write( "

Algebra.Com's Answer #767138 by ikleyn(52879) $\"\"$ $\"About$

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document.write( "Let x be price for a main-level seat (in dollars, of source).\r\n" );
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document.write( "The the price for the balcony seat is (x-20) dollars, according to the condition.\r\n" );
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document.write( "The equation for the revenue is\r\n" );
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document.write( "    1800*x + 550*(x-20) = 97100  dollars.\r\n" );
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document.write( "From the equation, express x and calculate\r\n" );
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document.write( "    x =  = 46   dollars.\r\n" );
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document.write( "ANSWER.  46 dollars for each main-level seat and  46-20 = 26 dollars for each balcony seat.\r\n" );
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document.write( "CHECK.  46*1800 + 26*550 = 97100 dollars.   ! Precisely correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Is everything clear to you in my solution ?\r
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\n" ); document.write( "\n" ); document.write( "In this case, please refer to the problem's ID number, which is 1145870.\r
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\n" ); document.write( "\n" ); document.write( "It is a standard tickets problem.\r
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\n" ); document.write( "\n" ); document.write( "There are different methods of solving such problems.
\n" ); document.write( "Read the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on tickets \r
\n" ); document.write( "\n" ); document.write( "    - Three methods for solving standard (typical) problems on tickets\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "From these lessons, learn on how to solve such problems once and for all.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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