in an Auditorium 300 tickets were sold the total sale of tickets was rupees 1250 if the tickets were of denomination of Rs 2.50 and Rs 5.0 how many of each denomination were sold
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Here is the solution:
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Total tickets = 300
Total sales = Rs 1250
Define x:
Let the number of Rs 2.50-tickets sold = x
The number of Rs 5-ticket sold = (300 - x)
Form equation:
2.5x + 5(300 - x) = 1250
2.5x + 1500 - 5x = 1250
2.5x = 250
x = 100
Find the number of tickets of each denomination sold:
Number of Rs 2.50 tickets = x = 100
Number of Rs 5.00 tickets = 300 - x = 300 - 100 = 200
Answer: 100 Rs 2.50 tickets and 200 Rs 5.00 tickets were sold.
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