document.write( "Question 196215: A theater charges $8 for adults, $4.50 for children, and $6 for senior citizens. If yesterday 405 tickets were sold, $2320 wss collected, and the number of children's tickets were twice the adult's tickets how many were sold of each type? \n" ); document.write( "
Algebra.Com's Answer #147272 by ankor@dixie-net.com(22740)\"\" \"About 
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A theater charges $8 for adults, $4.50 for children, and $6 for senior citizens.
\n" ); document.write( "If yesterday 405 tickets were sold, $2320 was collected, and the number of
\n" ); document.write( " children's tickets were twice the adult's tickets how many were sold of each type?
\n" ); document.write( ":
\n" ); document.write( "Three types of tickets sold; their number represented by; a, s, c
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( "\"If yesterday 405 tickets were sold,\"
\n" ); document.write( "a + s + c = 405
\n" ); document.write( ":
\n" ); document.write( "\"$2320 was collected,\"
\n" ); document.write( "8a + 6s + 4.5c = 2320
\n" ); document.write( ":
\n" ); document.write( "\"the number of children's tickets were twice the adult's tickets\"
\n" ); document.write( "c = 2a
\n" ); document.write( ":
\n" ); document.write( "In the first two equations, replace c with 2a, simplify as much as you can:
\n" ); document.write( "a + s + 2a = 405
\n" ); document.write( "3a + s = 405
\n" ); document.write( "s = (405 - 3a)
\n" ); document.write( "and
\n" ); document.write( "8a + 6s + 4.5(2a) = 2320
\n" ); document.write( "8a + 6s + 9a = 2320
\n" ); document.write( "17a + 6s = 2320
\n" ); document.write( ";
\n" ); document.write( "Replace s with (405-3a) in the above equation, find a
\n" ); document.write( "17a + 6(405-3a) = 2320
\n" ); document.write( "17a + 2430 - 18a = 2320
\n" ); document.write( "17a - 17a = 2320 -2430
\n" ); document.write( "-a = -110
\n" ); document.write( "a = +110 adult tickets
\n" ); document.write( ":
\n" ); document.write( "Find s: (s = 405 - 3a)
\n" ); document.write( "s = 405 - 3(110)
\n" ); document.write( "s = 405 - 330
\n" ); document.write( "s = 75 Senior tickets
\n" ); document.write( ":
\n" ); document.write( "Use the 1st equation to find c:
\n" ); document.write( "110 + 75 + c = 405
\n" ); document.write( "c = 405 - 185
\n" ); document.write( "c = 220 children tickets
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solutions in the total$ equation
\n" ); document.write( "8(110) + 6(75) + 4.5(220) =
\n" ); document.write( "880 + 450 + 990 = 2320; confirms our solutions
\n" ); document.write( ":
\n" ); document.write( " how many were sold of each type?
\n" ); document.write( "110 adults, 75 seniors, 220 children \n" ); document.write( "
\n" );