Multiple choice general knowledge math & puzzles

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
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let fare = F and reservation = R. F + R = 216. Adult + Child = (F + R) + (0.5F + R) = 327. Substituting 216: 216 + 0.5F + R = 327 => 0.5F + R = 111. Subtracting this from F + R = 216 gives 0.5F = 105, so F = 210.

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