document.write( "Question 39394: 15. Adult tickets for a play cost $16 and child tickets cost $9. If there were 24 people at a performance and the theater collected $258 from ticket sales, how many children attended the play? \n" ); document.write( "

Algebra.Com's Answer #24831 by josmiceli(19441) $\"\"$ $\"About$

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A = number of adults
\n" ); document.write( "C = number of children
\n" ); document.write( "A + C = 24
\n" ); document.write( "solve for A
\n" ); document.write( "(a)A = 24 - C
\n" ); document.write( "(b)258 = 16A + 9C
\n" ); document.write( "(price per adult ticket) X (number of tickets) = amount collected from adults
\n" ); document.write( "(price per child ticket) X (number of tickets) = amount collected from children
\n" ); document.write( "substitute (a) in (b)
\n" ); document.write( "258 = 16(24 - C) + 9C
\n" ); document.write( "258 = 16*24 - 16C + 9C
\n" ); document.write( "258 = 384 - 7C
\n" ); document.write( "subtract 384 from both sides
\n" ); document.write( "-126 = -7C
\n" ); document.write( "multiply both sides by -1
\n" ); document.write( "7C = 126
\n" ); document.write( "C = 18
\n" ); document.write( "(a)A = 24 - C
\n" ); document.write( "A = 24 - 18
\n" ); document.write( "A = 6
\n" ); document.write( "check:
\n" ); document.write( "(b)258 = 16A + 9C
\n" ); document.write( "258 = 16*6 + 9*18
\n" ); document.write( "258 = 96 + 162
\n" ); document.write( "258 = 258
\n" ); document.write( "OK
\n" ); document.write( "18 children attended the play \n" ); document.write( "

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