SOLUTION: A bus leaves the bus terminal with x passenger. When the bus comes to the first stop, 3/5 of the passengers get off and 4 passengers get on. At the second stop, 1/4 of the passenge

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Question 1100314: A bus leaves the bus terminal with x passenger. When the bus comes to the first stop, 3/5 of the passengers get off and 4 passengers get on. At the second stop, 1/4 of the passengers leave the bus and 9 passengers get on. Now, the number of passengers on the bus is only half that when the bus lest the bus terminal. Find the value of x.
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!

Let x be the original number of passengers.

At the first stop, 3/5 of them get off and 4 passengers get on:
x+-+%283%2F5%29x+%2B+4+=+%282%2F5%29x+%2B+4

At the second stop, 1/4 of the passengers get off and 9 get on:


The number of passengers is now half the original number:
%283%2F10%29x%2B12+=+%281%2F2%29x
12+=+%282%2F10%29x+=+%281%2F5%29x
x+=+60

The original number of passengers was 60.