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?
\n" ); document.write( "A) 1 child
\n" ); document.write( "B) 2 children
\n" ); document.write( "C) 3 children
\n" ); document.write( "D) 18 children
\n" ); 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)\"\" \"About 
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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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\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
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\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
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\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
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\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
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\n" ); document.write( "Check our solutions in the 2nd equation: 5(18) + 1(2) = 92\r
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