SOLUTION: A bird laid a certain number of eggs in a nest, and a collector took away two- thirds of them. The bird laid dome more, and another collector took. Two-thirds of them If the bird

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Question 914235: A bird laid a certain number of eggs in a nest, and a collector took away two- thirds of them. The bird laid dome more, and another collector took. Two-thirds of them
If the bird laid 12 eggs altogther and collectors took 10 altogether. How many eggs were there
to begin
with?

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = number of eggs to begin with
Collectors took 2/3, so there is 1/3 left, or
eggs left
Let = the extra eggs the bird then laid
the collectors took 2/3, so there are
eggs left
-------------------------------
The bird laid 12 total eggs and
collectors took 10 total, so there are
left at the end, so
-------------------------------


(1)
------------------
I also know that
(2)
Subtract (2) from (1)
(1)
(2)
---------------------


and, since
(2)
(2)
There were 9 eggs to begin with
------------
check answer:
Collectors took 2/3, so they
took 6 and 3 were left
---------------------
The bird laid 3 more, so bird
then had 6 eggs
-----------------
Collectors took 2/3, or 4 eggs,
so 2 were left
----------------
Bird laid eggs
Collectors took eggs
eggs were left
OK


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