document.write( "Question 618394: The Family Arts Center charges $22 for adults, $17 for senior citizens, and $6 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $13086 for 899 tickets sold. There were 47 more children than adults. How many children attended? \n" ); document.write( "

Algebra.Com's Answer #388850 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi,
\n" );
document.write( "$22 for adults, $17 for senior citizens, and $6 for children under 12, 
\n" );
document.write( "47 more children than adults AND 899 tickets sold
\n" );
document.write( "Let x, (x+47) and [899-x-(x+47)] represent # of adult, children, senior tickets respectively
\n" );
document.write( "Question states***revenue was $13086
\n" );
document.write( " $22x + $6(x+47) + $17(852 -2x) = $13086
\n" );
document.write( "    -6x = 13086 - 282 - 14484
\n" );
document.write( "    -6x = -1680
\n" );
document.write( "      x = 280, number of adult tickets sold
\n" );
document.write( "Children 280+47  = 327 children\r
\n" );
document.write( "\n" );
document.write( "CHECKING our Answer***( 292 Seniors, (852-560)
\n" );
document.write( " 22*280 + 6*327 + 17*292 = 13086 \n" );
document.write( "

\n" );