document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208465>Question 1208465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The basic one-way air fare for a child aged between 3 and 10 years costs half the regular basic fare for an adult plus a reservation charge that is the same on the child's ticket as on the adult's ticket. One reserved ticket for an adult costs $216 and the cost of a reserved ticket for an adult and a child (aged between 3 and 10) costs $327. What is the basic fare for the journey for an adult? </SPAN>\n" );
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document.write( "The cost of the air fare for a child is half the cost for an adult. So<br><BR>\n" );
document.write( "let x = air fare for a child<BR>\n" );
document.write( "then 2x = air fare for an adult<br><BR>\n" );
document.write( "let y = reservation charge for either an adult or a child<br><BR>\n" );
document.write( "Then...<br><BR>\n" );
document.write( "One air fare for an adult with the reservation charge is $216:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2By=216 ALIGN=MIDDLE  ALT=\"2x%2By=216\"   DISABLED_style= \"max-width:90%; height:auto;\" > [1]<br><BR>\n" );
document.write( "The air fare for an adult and a child, with the reservation charges for both, is $327:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2Bx%2By%2By=327 ALIGN=MIDDLE  ALT=\"2x%2Bx%2By%2By=327\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2y=327 ALIGN=MIDDLE  ALT=\"3x%2B2y=327\"   DISABLED_style= \"max-width:90%; height:auto;\" > [2]<br><BR>\n" );
document.write( "Equations [1] and [2] give you a system of two equations that is easily solved by standard algebraic methods.<br><BR>\n" );
document.write( "However, this particular system of equation is easily solved by non-standard methods.<br><BR>\n" );
document.write( "Comparing the two equations (i.e., finding the difference between [1] and [2]), we find<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=111 ALIGN=MIDDLE  ALT=\"x%2By=111\"   DISABLED_style= \"max-width:90%; height:auto;\" > [3]<br><BR>\n" );
document.write( "Then, comparing equations [1] and [3], we find<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=105 ALIGN=MIDDLE  ALT=\"x=105\"   DISABLED_style= \"max-width:90%; height:auto;\" > [4]<br><BR>\n" );
document.write( "ANSWER: the basic air fare for an adult is 2x = $210.<br><BR>\n" );
document.write( " </SPAN>\n" );
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