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?  Select:  A) $111  B) $52.5  C) $210  D) $58.5  E) $6
Explanatory Answer   Step 1: Assign variables and frame equations   Let the basic fare for the child be $X.   Basic one-way air fare of a child costs half the regular fare for an adult   Therefore, the basic fare for an adult = 2(basic one-way airfare for a child) = $2X.   Reservation charge is the same on the child's ticket as on the adult's ticket.   Let the reservation charge per ticket be $Y   Hence, an adult ticket will cost (Basic fare + Reservation charges) = 2X + Y = $216 ..... (1)   And ticket for an adult and a child will cost (2X + Y) + (X + Y) = 3X + 2Y = $327 .... (2)   Step 2: Solve the equations and determine basic fare for an adult   Multiply equation (1) by 2: 4X + 2Y = 432 .... (3)   Subtract equation (2) from equation (3): (4X + 2Y = 432) - (3X + 2Y = 327)   ∴ X = $105.   The basic fare of an adult ticket = 2X = 2*105= 
<gadget id="calculator">2*105</gadget>
<output>210</output>
$210   Answer $210
<result>C</result>
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?