document.write( "Question 57830: 13. Adult tickets for a play cost $16 and child tickets cost $12. If there were 33 people at a performance and the theater collected $472 from ticket sales, how many children attended the play?
\n" ); document.write( "A) 13 children
\n" ); document.write( "B) 14 children
\n" ); document.write( "C) 15 children
\n" ); document.write( "D) 19 children
\n" ); document.write( "Thanks so much for all you do!!!!
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Algebra.Com's Answer #39515 by funmath(2933)\"\" \"About 
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13. Adult tickets for a play cost $16 and child tickets cost $12. If there were 33 people at a performance and the theater collected $472 from ticket sales, how many children attended the play?
\n" ); document.write( "A) 13 children
\n" ); document.write( "\"highlight%28B%29\" 14 children
\n" ); document.write( "C) 15 children
\n" ); document.write( "D) 19 children
\n" ); document.write( ":
\n" ); document.write( "Let children=x
\n" ); document.write( "Then since the rest of the people who attended were adults then adults=33-x
\n" ); document.write( "The money made from children's tickets would be: $12x
\n" ); document.write( "The money made from adult tickets is: $16(33-x)
\n" ); document.write( "The total money made is: $472
\n" ); document.write( ":
\n" ); document.write( "The equation to solve is:
\n" ); document.write( "12x+16(33-x)=472
\n" ); document.write( "12x+528-16x=472
\n" ); document.write( "-4x+528=472
\n" ); document.write( "-4x+528-528=472-528
\n" ); document.write( "-4x=-56
\n" ); document.write( "-4x/-4=-56/-4
\n" ); document.write( "x=14
\n" ); document.write( ":
\n" ); document.write( "If you are on systems of equations with two equations and two unknowns, then:
\n" ); document.write( "let children be:x
\n" ); document.write( "let adults be: y
\n" ); document.write( "Then your system is:
\n" ); document.write( "x+y=33
\n" ); document.write( "12x+16y=472
\n" ); document.write( "If you solve the first equation for y and substitute it in the second equation you get what I showed you using one equation and one unknown.
\n" ); document.write( "Happy Calculating!!!
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