SOLUTION: There were 13 riders on a bus after the third stop. At each stop, riders got off and on as follows: stop 1--10 off, 15 on; stop 2-- 8 off,20 on; stop 3-- 18off, 3 on. How many ride

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Question 901301: There were 13 riders on a bus after the third stop. At each stop, riders got off and on as follows: stop 1--10 off, 15 on; stop 2-- 8 off,20 on; stop 3-- 18off, 3 on. How many riders were on the bus before the first stop?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of riders that
were on the bus before the first stop
---------------------------------
1st stop:
+n+-+10+ after 10 got off
+n+-+10+%2B+15+=+n+%2B+5+
after 15 got on
------------------------
2nd stop:
+n+%2B+5+-+8+=+n+-+3+
after 8 got off
+n+-+2+%2B+20+=+n+%2B+18+
after 20 got on
-----------------------
3rd stop:
+n+%2B+18+-+18+=+n+
after 18 got off
+n+%2B+3+
after 3 got on
---------------
You are told that
+n+%2B+3+=+13+
+n+=+10+
There were 10 riders were on
the bus before the first stop