SOLUTION: Hi 2 bottles x and y contain water.from bottle x we pour into bottle y twice as much water as y already contains.we then pour from y into x as much water as x now contains. Both b

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Question 1043772: Hi
2 bottles x and y contain water.from bottle x we pour into bottle y twice as much water as y already contains.we then pour from y into x as much water as x now contains. Both bottles now contain 200ml.how much water was in each bottle initially.
thank you
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = ml of water in x bottle initially
Let = ml of water in y bottle initially
-----------------------------------
(1)
After 1st step:
Bottle x has: ml
Bottle y has: ml
-------------------------
(2)
After 2nd step:
Bottle x has:
Bottle y has:
-----------------------------------
I am given that

----------------------------
(1)
(2)
-----------------------
Multiply both sides of (2) by
(1)
(2)
----------------------

---------------
If both bottle end up with 200 ml, there has to
be 400 ml total, so

--------------------
Initially, x has 300 ml
y has 100 ml
------------------------
check answer:
(1)
After 1st step:
Bottle x has:
ml
Bottle y has:
ml
--------------------------------
(2)
After 2nd step:
Bottle x has:

ml
Bottle y has:
ml
----------
Both bottles end up with 200 ml
OK