document.write( "Question 105411: Adult tickets for a play cost $16 and child tickets cost $3. If there were 23 people at a performance and the theater collected $199 from ticket sales, how many adults and how many children attended the play? \n" ); document.write( "
Algebra.Com's Answer #76728 by checkley75(3666)![]() ![]() ![]() You can put this solution on YOUR website! 16A+3C=199 \n" ); document.write( "A+C=23 OR A=23-C \n" ); document.write( "NOW SUBSTITUTE (23-C) FOR A & SOLVE FOR C \n" ); document.write( "16(23-C)+3C=199 \n" ); document.write( "368-16C+3C=199 \n" ); document.write( "-13C=199-368 \n" ); document.write( "-13C=-169 \n" ); document.write( "C=-169/-13 \n" ); document.write( "C=13 IS THE NUMBER OF CHILDREN'S TICKETS SOLD. \n" ); document.write( "23-13=10 ADULT TICKETS SOLD. \n" ); document.write( "PROOF \n" ); document.write( "16*10+13*3=199 \n" ); document.write( "160+39=199 \n" ); document.write( "199=199 \n" ); document.write( " |