A cinema sold 200 tickets, some at the full price of 30 reais and the rest at the half price of 15 reais, taking 4,800 reais in total. How many half-price tickets were sold?
Answer and explanation
Correct answer: A. 80
- Step 1: Let and be the numbers of full and half-price tickets: and . Step 2. Dividing the second equation by 15 gives . Subtracting the first gives , so . Answer: 80. Why not the others: 120 is the number of full-price tickets, 100 splits the tickets evenly and would take only 4,500 reais, and 160 is the number of full-price tickets that 4,800 reais would buy.
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