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In ABC movie theatre, adult ticket was Rs.300 and child ticket was Rs.150. To watch a movie, there were 90 individuals including children and adults. If the total income of the cinema hall was Rs. 22500, find the number of adults in the movie theatre.

Question

In ABC movie theatre, adult ticket was Rs.300 and child ticket was Rs.150. To watch a movie, there were 90 individuals including children and adults. If the total income of the cinema hall was Rs. 22500, find the number of adults in the movie theatre.

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Solution

Let's solve this problem step by step:

Step 1: Let's denote the number of adults as 'A' and the number of children as 'C'.

Step 2: From the problem, we know that the total number of individuals is 90. So, we can write this as an equation: A + C = 90.

Step 3: We also know that the total income of the cinema hall was Rs. 22500. Given that an adult ticket costs Rs. 300 and a child ticket costs Rs. 150, we can write this as another equation: 300A + 150C = 22500.

Step 4: Now we have a system of two equations, and we can solve it. It's easier to handle the equations if they are simpler, so let's simplify the second equation by dividing every term by 150: 2A + C = 150.

Step 5: Now we can subtract the first equation (A + C = 90) from the simplified second equation (2A + C = 150). This gives us: A = 60.

So, there were 60 adults in the movie theatre.

This problem has been solved

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