SOLUTION: If you sold one half of your tickets and gave away one quarter of the rest. It would equal 3,600 tickets. How many did you have in the beginning?

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Question 381717: If you sold one half of your tickets and gave away one quarter of the rest. It would equal 3,600 tickets. How many did you have in the beginning?
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
Let x represent the number of tickets in the beginning
If I am understanding the question properly:
selling 1/2 of your tickets and giving away 1/4 of the rest = 3600 tickets
x/2 + 1/4(x/2) = 3600
(1/2)x + (1/8)x = 3600
(5/8)x = 3600
x = 3600(8/5)
x = 5760, the number of tickets in the beginning