SOLUTION: Some children are sharing oranges among themselves.If each gets 9 orange, no orange will be left. If each gets 6, then 18 will be left over. How many children are there?

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Question 648723: Some children are sharing oranges among themselves.If each gets 9 orange, no orange will be left. If each gets 6, then 18 will be left over. How many children are there?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It isn't stated exactly, but there must be a fixed
number of oranges that are being shared.
Let +c+ = the number of children
With each one getting 9 oranges, there are
+9c+ oranges in all.
and If each child gets 6 oranges, there are
+6c+%2B+18+ oranges in all.
-------------------------
In both cases, the number of oranges hasn't
changed, so
+9c+=+6c+%2B+18+
+3c+=+18+
+c+=+6+
There are 6 children
------------------
check:
If each gets 9 oranges, that is +6%2A9+=+54+
------------------
If each gets 6 with 18 left over, that is
++6%2A6+%2B+18+=+36+%2B+18+
+36+%2B+18+=+54+
OK