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The basic one-way air fare for a child aged between 3 and 10 years cos

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The basic one-way air fare for a child aged between 3 and 10 years cos  [#permalink]

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New post 14 Feb 2016, 05:31
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

73% (02:12) correct 27% (02:01) wrong based on 34 sessions

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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?

A. $111
B. $52.5
C. $210
D. $58.5
E. $6

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Re: The basic one-way air fare for a child aged between 3 and 10 years cos  [#permalink]

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New post 14 Feb 2016, 11:57
Let the basic fare for adult = A
and reservation charge = R
Child aged 3-10 fare = A/2 + R
Reserved ticket for adult = 216
=> A+R = 216 -- 1
cost of a reserved ticket for an adult and a child (aged between 3 and 10) costs $327
A+R + A/2 + R = 327
=>A/2+R = 327 -216 = 111
=> A + 2R = 222 -- 2
From 1 and 2 , we get
R= 6
=>A=210
Answer C
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Re: The basic one-way air fare for a child aged between 3 and 10 years cos  [#permalink]

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New post 02 Feb 2018, 11:20
Hi All,

I'm a big fan of TESTing THE ANSWERS on this question, but it can also be solved Algebraically, using a 'system' of equations:

T = price of adult fare
F = cost of reservation charge

Adult Ticket = T + F
Kid's Ticket = (T/2) + F

1 reserved Adult Ticket = T + F = 216
1 Adult + 1 Kid = (3T/2) + 2F = 327

From here, you have two variables and two unique equations, so you can solve for both variables. The question asks us for the value of T.

[(3T/2) + 2F] - [T + F] = 327 - 216
T/2 + F = 111

(T + F) - (T/2 + F) = 216 - 111 = 105
T/2 = 105
T = 210

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Re: The basic one-way air fare for a child aged between 3 and 10 years cos   [#permalink] 02 Feb 2018, 11:20
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