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ksb
 Post subject: Word Problems in Algebra : Linear Equations
PostPosted: Thu Jul 30, 2009 9:27 am 
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Joined: Tue Dec 28, 2004 2:34 am
Posts: 93
Location: Chennai, India
The basic one-way air fare for a child aged between 3 and 10 years costs half the regular 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?

1. $111
2. $52.5
3. $210
4. $58.5
5. $6

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gmat770
 Post subject: Re: Word Problems in Algebra : Linear Equations
PostPosted: Thu Aug 06, 2009 5:04 am 
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Joined: Thu Aug 06, 2009 4:58 am
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Let the basic fare be X
Let the reservation cost be Y.

Adult ticket price = X + Y
Child ticket price = (X/2) + Y

Information given that Adult ticket price is 216, i.e. X+Y = 216
Also it is known, Adult + child ticket price is 327, i.e., X+Y+(X/2)+Y= 327
Solve for X and the the answer is 210.
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