document.write( "Question 1208465: 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? \n" ); document.write( "

Algebra.Com's Answer #846911 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The basic one-way air fare for a child aged between 3 and 10 years costs half the regular basic fare for an adult
\n" ); document.write( "plus a reservation charge that is the same on the child's ticket as on the adult's ticket.
\n" ); document.write( "One reserved ticket for an adult costs $216 and the cost of a reserved ticket for an adult
\n" ); document.write( "and a child (aged between 3 and 10) costs $327. What is the basic fare for the journey for an adult?
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document.write( "Let x be the basic fare for one way ticket for an adult (reservation is not included).\r\n" );
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document.write( "Then the basic fare for one way ticket for a child is x/2.\r\n" );
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document.write( "The reservation for an adult for this trip costs (216-x) dollars,\r\n" );
document.write( "same as the reservation for a child.\r\n" );
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document.write( "Now the equation for the cost of the reserved ticket for an adult and the reserved ticket for a child is\r\n" );
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document.write( "    216 +  + (216-x) = 327  dollars.\r\n" );
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document.write( "This equation is your setup. As soon as you got it and as soon as \r\n" );
document.write( "you do understand it, half of the problem is just solved.\r\n" );
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document.write( "To solve it to the end, simplify this equation and find x\r\n" );
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document.write( "     + (216-x) = 327 - 216\r\n" );
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document.write( "     + 216 - x =    111\r\n" );
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document.write( "     = 111 - 216\r\n" );
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document.write( "     =   -105\r\n" );
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document.write( "        x      =    2*105 = 210.\r\n" );
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document.write( "ANSWER.  The basic fare for the journey for an adult is $210.\r\n" );
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