document.write( "Question 56763: 5. Adult tickets for a play cost $5 and child tickets cost $1. If there were 20 people at a performance and the theater collected $92 from ticket sales, how many children attended the play?
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document.write( "A) 1 child
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document.write( "B) 2 children
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document.write( "C) 3 children
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document.write( "D) 18 children
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document.write( "no book Thanks so very much for your time!!!\r
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Algebra.Com's Answer #38552 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Adult tickets for a play cost $5 and child tickets cost $1. If there were 20 people at a performance and the theater collected $92 from ticket sales, how many children attended the play? \n" ); document.write( ": \n" ); document.write( "Let A = number of adults, c = number of children \n" ); document.write( "It says there were 20 people at the performance so the equation would be: \n" ); document.write( "A + C = 20 \n" ); document.write( ": \n" ); document.write( "It says adult tickets ae $5 and kids $1, the total was $92. The equation is: \n" ); document.write( "5A + 1C = 92 \n" ); document.write( ": \n" ); document.write( "If we take the 1st equation and rearrange it like this: \n" ); document.write( "A + C = 20 \n" ); document.write( "C = 20 - A \n" ); document.write( ": \n" ); document.write( "Now substitute (20-A) for C in the 2nd equation and solve for A: \n" ); document.write( "5A + 1C = 92 \n" ); document.write( "5A + 1(20 - A) = 92 \n" ); document.write( "5A - A + 20 = 92 \n" ); document.write( "4A = 92 - 20 \n" ); document.write( "4A = 72 \n" ); document.write( "A = 72/4 \n" ); document.write( "A = 18 adults \n" ); document.write( ": \n" ); document.write( "Find the number of kids \n" ); document.write( "18 + C = 20 \n" ); document.write( "C = 20 - 18 \n" ); document.write( "C = 2 children \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check our solutions in the 2nd equation: 5(18) + 1(2) = 92\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |