A theater sold 13 tickets for a total of 345 shekels. Adult tickets cost 45 shekels and child tickets cost 15 shekels. How many adult tickets were sold?

Answer and explanation

Correct answer: A. 5

  1. Step 1: Let a be the adult tickets: a + c = 13 and 45a + 15c = 345.
  2. Step 2: Substituting c = 13 - a gives 30a = 150, so a = 5.
Answer
5.
Why not the others: 8 is the number of child tickets; the other values fail to match the total takings.

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