document.write( "Question 72933: Adult tickets for a play cost $18 and child tickets cost $14. If there were 26 people at a performance and the theater collected $396 from ticket sales, how many children attended the play? \n" ); document.write( "
Algebra.Com's Answer #52229 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Adult tickets for a play cost $18 and child tickets cost $14. If there were 26 people at a performance and the theater collected $396 from ticket sales, how many children attended the play? \n" ); document.write( ": \n" ); document.write( "Let A = number of adults, C = number of kids \n" ); document.write( "; \n" ); document.write( "Write an equation for what it says, \"26 people at the performance\" \n" ); document.write( "A + C = 26 \n" ); document.write( "or \n" ); document.write( "A = (26-C); we can use this for substitution \n" ); document.write( ": \n" ); document.write( "\"Adult tickets cost $18 and child tickets cost $14. and they collected $396\" \n" ); document.write( "18A + 14C = 396 \n" ); document.write( ": \n" ); document.write( "Substitute (26-C) for A in the above equation and solve for C: \n" ); document.write( "18(26-C) + 14C = 396 \n" ); document.write( ": \n" ); document.write( "468 - 18C + 14C = 396 \n" ); document.write( ": \n" ); document.write( "-18C + 14C = 396 - 468 \n" ); document.write( ": \n" ); document.write( "-4C = -72 \n" ); document.write( ": \n" ); document.write( "C = -72/-4 \n" ); document.write( ": \n" ); document.write( "C = 18 children attended \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check our solution: \n" ); document.write( "that means 26-18 = 8 adults attended \n" ); document.write( "18(8) + 14(18) = \n" ); document.write( "144 + 252 = 396, check out our solution \n" ); document.write( " |