A school sold 50 tickets in total. Adult tickets cost ₹200, child tickets cost ₹100, and total revenue was ₹8,500. How many adult tickets were sold?
A$15$
B$25$
C$30$
D$35$
Answer & Solution
Correct answer: D. $35$
Let $a$ = adult tickets, $c$ = child tickets. Then $a + c = 50$ and $200a + 100c = 8500$. From the first, $c = 50 - a$; substitute: $200a + 100(50 - a) = 8500$, so $100a + 5000 = 8500$, $100a = 3500$, $a = 35$.
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