document.write( "Question 106221: Adult tickets for a play cost $18 and child tickets cost $2. If there were 20 people at a performance and the theater collected $88 from ticket sales, how many children attended the play? \n" ); document.write( "
Algebra.Com's Answer #77283 by jermz69(5)![]() ![]() ![]() You can put this solution on YOUR website! Adult tickets for a play cost $18 and child tickets cost $2. If there were 20 people at a performance and the theater collected $88 from ticket sales, how many children attended the play?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Lex x: number of children who attended the play \n" ); document.write( " 20-x: number of adults who attended the play\r \n" ); document.write( "\n" ); document.write( "Adult tickets: $18 \n" ); document.write( "Child tickets: $2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Equation: \n" ); document.write( "2x + 18(20-x) = 88\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution: \n" ); document.write( "2x + 360 - 18x = 88 \n" ); document.write( "-16x + 360 = 88 \n" ); document.write( "-16x = 88 - 360 \n" ); document.write( "-16x = -272\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by -16.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: \n" ); document.write( "x = -272/-16 \n" ); document.write( "x = 17 \n" ); document.write( "17 children attended the play.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: \n" ); document.write( "2(17) + 18(20-17) = 88 \n" ); document.write( "2(17) + 18(3) = 88 \n" ); document.write( "34 + 54 = 88 \n" ); document.write( "88 = 88 (true)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 17 children\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "By the way, I'm jermz69. Hope I helped! :) \n" ); document.write( " |