A group of 3 adults and 4 children pay ₹380 for movie tickets. Another group of 2 adults and 3 children pay ₹270 for the same tickets. What is the price of one adult ticket?
₹60
Let the adult ticket cost \(a\) and the child ticket cost \(c\).
From the two groups: \(3a + 4c = 380\) and \(2a + 3c = 270\).
Make the child terms equal: multiply the first by 3 and the second by 4, giving \(9a + 12c = 1140\) and \(8a + 12c = 1080\).
Subtract: \(9a - 8a = 1140 - 1080 \Rightarrow a = 60\).
Hence, the price of one adult ticket is ₹60.
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