document.write( "Question 1109505: Sue paid $46 for 2 adult and 4 child tickets to a play. Karen paid $86 for 4 adult and 7 child tickets to the same play. What is the cost of 1 adult and 1 child ticket? \n" ); document.write( "
Algebra.Com's Answer #724595 by ankor@dixie-net.com(22740)\"\" \"About 
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Sue paid $46 for 2 adult and 4 child tickets to a play.
\n" ); document.write( " Karen paid $86 for 4 adult and 7 child tickets to the same play.
\n" ); document.write( " What is the cost of 1 adult and 1 child ticket?
\n" ); document.write( ":
\n" ); document.write( "let a = the price of adult tickets
\n" ); document.write( "let c = the price of children's
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\n" ); document.write( "Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( "\"Sue paid $46 for 2 adult and 4 child tickets to a play.\"
\n" ); document.write( "2a + 4c = 46
\n" ); document.write( "\" Karen paid $86 for 4 adult and 7 child tickets to the same play.\"
\n" ); document.write( "4a + 7c = 86
\n" ); document.write( ":
\n" ); document.write( "We can use elimination, multiply the 1st equation by 2, subtract the 2nd
\n" ); document.write( "4a + 8c = 92
\n" ); document.write( "4a + 7c = 86
\n" ); document.write( "----------------subtraction eliminates a, find c
\n" ); document.write( "0 + c = $6 for a child's ticket
\n" ); document.write( ":
\n" ); document.write( "I'll let you find a, check in both equations \n" ); document.write( "
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