document.write( "Question 1196502: a gathering of 600 people for a children's concert generated $4000 in revenue from the sale of tickets in which each adult was charged $7 and each child was charged $5 each. How many children were there? \n" ); document.write( "

Algebra.Com's Answer #829349 by ikleyn(52790) $\"\"$ $\"About$

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\n" ); document.write( "a gathering of 600 people for a children's concert generated $4000 in revenue
\n" ); document.write( "from the sale of tickets in which each adult was charged $7 and each child
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document.write( "x = the number of children\r\n" );
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document.write( "600-x = the number of adults.\r\n" );
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document.write( "Write the revenue equation (total money collected)\r\n" );
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document.write( "    5x + 7*(600-x) = 4000  dollars.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    5x + 4200 - 7x = 4000\r\n" );
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document.write( "    5x - 7x        = 4000 - 4200\r\n" );
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document.write( "      -2x          =    -200\r\n" );
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document.write( "        x          =  = 100.\r\n" );
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document.write( "ANSWER.  100 children.\r\n" );
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document.write( "CHECK.  100*5 + 7*(600-100) = 500 + 3500 = 4000 dollars total, confirming the answer.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "It is a standard and typical tickets problem.\r
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\n" ); document.write( "\n" ); document.write( "There are different methods of solving such problems.
\n" ); document.write( "In this site, there is a lesson\r
\n" ); document.write( "\n" ); document.write( " - Using systems of equations to solve problems on tickets \r
\n" ); document.write( "\n" ); document.write( "explaining and showing different methods of solving such problems.\r
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\n" ); document.write( "\n" ); document.write( "From this lesson, 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 lesson is 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
\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
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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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