document.write( "Question 72940This question is from textbook Beginning Algebra 1A
\n" );
document.write( ": Please help me solve this, Thanks
\n" );
document.write( "Adult tickets for a play cost $9 and child tickets cost $8. If there were 23 people at a performance and the theater collected $193 from ticket sales, how many children attended the play? \n" );
document.write( "
Algebra.Com's Answer #52165 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! Adult tickets for a play cost $9 and child tickets cost $8. If there were 23 people at a performance and the theater collected $193 from ticket sales, how many children attended the play? \n" ); document.write( "Let the number of children be: x \n" ); document.write( "Then the rest of the 23 people in attendance were adults, let that be: 23-x \n" ); document.write( "The amount of money collected from children is 8 per child: 8x \n" ); document.write( "The amount of money collected from adults is 9 per adult: 9(23-x) \n" ); document.write( "The total amount collected is 193: =193 \n" ); document.write( "Therefore, the problem to solve is: \n" ); document.write( "8x+9(23-x)=193 \n" ); document.write( "8x+207-9x=193 \n" ); document.write( "-x+207=193 \n" ); document.write( "-x+207-207=193-207 \n" ); document.write( "-x=-14 \n" ); document.write( "-x/-1=-14/-1 \n" ); document.write( "x=14 \n" ); document.write( "14 children attended the event. \n" ); document.write( ": \n" ); document.write( "Sanity Check: \n" ); document.write( "If 14 children attended the event, then 23-14=9 adults attended. \n" ); document.write( "8(14)+9(9)=112+81=193 It works out. \n" ); document.write( "Happy Calculating!!!! \n" ); document.write( " |