document.write( "Question 492850: The local movie theater sold 100 tickets for $780. If children's tickets cost $6 and adult tickets $12, how many of each were sold? \n" ); document.write( "
Algebra.Com's Answer #335206 by Maths68(1474)\"\" \"About 
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Let
\n" ); document.write( "Children's ticket = x
\n" ); document.write( "Adult's ticket = y
\n" ); document.write( "Cost of Children's tickets = 6x
\n" ); document.write( "Cost of Adult's tickets = 12y
\n" ); document.write( "Children's ticket + Adult's ticket = Total Tickets sold
\n" ); document.write( "x+y=100
\n" ); document.write( "x=100-y ..............(1)
\n" ); document.write( "cost of children tickets + cost of Adult's ticket = cost of total ticket sold
\n" ); document.write( "6x+12y=780...........(2)
\n" ); document.write( "Put the value of x from (1) to (2)
\n" ); document.write( "6x+12y=780
\n" ); document.write( "6(100-y)+12y=780
\n" ); document.write( "600-6y+12y=780
\n" ); document.write( "600+6y=780
\n" ); document.write( "6y=780-600
\n" ); document.write( "6y=180
\n" ); document.write( "y=180/6
\n" ); document.write( "y=30
\n" ); document.write( "put the value of y in (1)
\n" ); document.write( "x=100-y
\n" ); document.write( "x=100-30
\n" ); document.write( "x=70\r
\n" ); document.write( "\n" ); document.write( "Children's tickets sold = 70
\n" ); document.write( "Adult's tickets sold = 30\r
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