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14 Feb 2016, 05:31
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
79% (02:41) correct
21%
(02:53)
wrong
based on 100
sessions
History
Date
Time
Result
Not Attempted Yet
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
A. $111
B. $52.5
C. $210
D. $58.5
E. $6
14 Feb 2016, 11:57
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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
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
02 Feb 2018, 11:20
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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
Final Answer:
GMAT assassins aren't born, they're made,
Rich
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
Final Answer:
GMAT assassins aren't born, they're made,
Rich
