document.write( "Question 1143765: The manager of a theater wants to know whether the majority of its patrons are adults or children. One​ day, 5300 tickets were sold and the receipts totaled ​$38,794. The adult admission is ​$8.50​, and the​ children's admission is ​$6.50. How many adult patrons were​ there? \n" ); document.write( "
Algebra.Com's Answer #764662 by ikleyn(52787)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "Let a be the number of adults.  \r\n" );
document.write( "\r\n" );
document.write( "Then the number of children is (5300-a).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You have this \"money\" equation (revenue)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    8.50a + 6.50*(5300 - a) = 38794.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the equation,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    a = \"%2838794+-+6.50%2A5300%29%2F%288.50-6.50%29\" = 2172.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  2172 adults.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.  8.50*2172 + 6.50*(5300-2172) = 38794 dollars.   ! Correct !\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is a standard ticket problem.\r
\n" ); document.write( "
\n" ); document.write( "\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "From these lessons,  learn on how to solve such problems once for all.\r
\n" ); document.write( "
\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
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );