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?
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document.write( "A) 13 children
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document.write( "B) 14 children
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document.write( "C) 15 children
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document.write( "D) 19 children
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document.write( "Thanks so much for all you do!!!! \n" );
document.write( "
Algebra.Com's Answer #39515 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! 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( " \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!!! \n" ); document.write( " |