document.write( "Question 120905: Adult tickets for a play cost $20 and child tickets cost $8. If there were 33 people at a performance and the theater collected $468 from ticket sales, how many adults and how many children attended the play? \n" ); document.write( "
Algebra.Com's Answer #88708 by checkley71(8403)\"\" \"About 
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A+C=33 & 20A+8C=468
\n" ); document.write( "A=33-C NOW REPLACE \"A\" WITH (33-C) IN THE OTHER EQUATION & SOLVE FOR \"C\".
\n" ); document.write( "20(33-C)+8C=468
\n" ); document.write( "660-20C+8C=468
\n" ); document.write( "-12C=468-660
\n" ); document.write( "-12C=-192
\n" ); document.write( "C=-192/-12
\n" ); document.write( "C=16 ANSWER FOR THE NUMBER OF CHILDREN TICKETS SOLD.
\n" ); document.write( "A=33-16
\n" ); document.write( "A=17 ADULT TICKETS SOLD.
\n" ); document.write( "PROOF
\n" ); document.write( "20*17+8*16=468
\n" ); document.write( "340+128=468
\n" ); document.write( "468=468
\n" ); document.write( "
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