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)\"\" \"About 
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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?
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\n" ); document.write( "Let A = number of adults, C = number of kids
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\n" ); document.write( "Write an equation for what it says, \"26 people at the performance\"
\n" ); document.write( "A + C = 26
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\n" ); document.write( "A = (26-C); we can use this for substitution
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\n" ); document.write( "\"Adult tickets cost $18 and child tickets cost $14. and they collected $396\"
\n" ); document.write( "18A + 14C = 396
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\n" ); document.write( "Substitute (26-C) for A in the above equation and solve for C:
\n" ); document.write( "18(26-C) + 14C = 396
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\n" ); document.write( "468 - 18C + 14C = 396
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\n" ); document.write( "-18C + 14C = 396 - 468
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\n" ); document.write( "-4C = -72
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\n" ); document.write( "C = -72/-4
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\n" ); document.write( "C = 18 children attended
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\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
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