SOLUTION: Consider two tumblers, the first containing one litre of coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you

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Question 490219: Consider two tumblers, the first containing one litre of coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of the mixture from the second tumbler and pour it back into the first tumbler. Which one of the following statement holds now?
a) There is less coffee in the first tumbler than water in the second tumbler.
b) There is more coffee in the firs tumbler than water in the second tumbler
c) There is as much coffee in the first tumbler as there is water in the second tumbler
d) None of the statements holds true.

Found 2 solutions by MathLover1, cleomenius:
Answer by MathLover1(20850) About Me  (Show Source):
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EXP:
take one glass has 100 ml coffee and another glass 100 ml water.
take 10 ml coffee from 1st one and mix into the second one .and now take 10 ml mixture from second one and mix into the first one .then finally 1st one have 90.90909 ml coffee and second one have 90.90909 ml water.
c) There is as much coffee in the first tumbler as there is water in the second tumbler.

Answer by cleomenius(959) About Me  (Show Source):
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You don't say what is in the second tumbler, I am assuming it is one liter of water.
If it is water, then I would say c, you would have an equal amount of coffee in tumbler one to water in tumbler two.
Suppose you have 100 parts coffee in tumbler one and 100 parts water in tumbler two.
You take 10 parts of coffee and put into tumbler two, tumbler two now contains 110 parts, comprised of 10 parts coffee and 100 of water.

Now remove ten parts from tumbler two and add to tumbler one, more you would likely remove 9 parts water and 1 part coffee
Net result would be 91 parts coffee in tumbler one and 9 parts water.
In the second tumbler, you would have 91 parts water and 9 parts coffee.
Cleomenius.