SOLUTION: A shop has some pigeons and some cages. If the shopkeeper tries to put 5 pigeons in each cage, then there will be 1 cage left. If the shopkeeper tries to put 3 pigeons in each cage

Question 1129547: A shop has some pigeons and some cages. If the shopkeeper tries to put 5 pigeons in each cage, then there will be 1 cage left. If the shopkeeper tries to put 3 pigeons in each cage, there will be 1 pigeon left. How many pigeons and cages are there?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of pigeons
Let = number of cages
-------------------------------------
(1)
(2)
---------------------------
(1)
(1)
and
(2)
---------------------------
Add the equations

and
(2)
(2)
There are 10 pigeons and 3 cages
---------------------------------------
check:
5 pigeons in each cage is pigeons
and there is 1 cage left
3 pigeons in each cage is and 1
pigeon left makes 10 pigeons
OK

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