document.write( "Question 772465: The circus is coming to town. Sue is selling tickets. The first day she sold 4 senior citizen tickets and 2 children's tickets for a total of $80. The second day she received $145 for 5 senior citizen tickets and 7 children's tickets. What is the price of a child's ticket and a senior citizen ticket? \n" ); document.write( "

Algebra.Com's Answer #470889 by Cromlix(4381) $\"\"$ $\"About$

You can put this solution on YOUR website!
Senor citizen ticket = x
\n" ); document.write( "Child's ticket = y
\n" ); document.write( "4x + 2y = 80...1
\n" ); document.write( "5x + 7y = 145...2
\n" ); document.write( "Multiply (1) by 5
\n" ); document.write( "Multiply (2) by 4
\n" ); document.write( "20x + 10y = 400...3
\n" ); document.write( "20x + 28y = 580...4
\n" ); document.write( "Subtract (3) from (4)
\n" ); document.write( " 18y = 180
\n" ); document.write( " y = 10
\n" ); document.write( "Substitute y = 10 into (1)
\n" ); document.write( "4x + 2y = 80
\n" ); document.write( "4x + 2(10) = 80
\n" ); document.write( "4x + 20 = 80
\n" ); document.write( "4x = 80 - 20
\n" ); document.write( "4x = 60
\n" ); document.write( "x = 15.
\n" ); document.write( "Children's tickets cost $10
\n" ); document.write( "Senior citizen's tickets cost $15
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-) \n" ); document.write( "

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