A theater sold 10 tickets for a total of 270 dinars. Adult tickets cost 45 dinars and child tickets cost 15 dinars. How many adult tickets were sold?

Answer and explanation

Correct answer: D. 4

  1. Step 1: Let a be the adult tickets: a + c = 10 and 45a + 15c = 270.
  2. Step 2: Substituting c = 10 - a gives 30a = 120, so a = 4.
Answer
4.
Why not the others: 6 is the number of child tickets; the other values fail to match the total takings.

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