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Question

Take one teaspoon coffee and mix it with an equal amount of tea both taken from different glasses. Then from this mixture, take one teaspoon out and mix it in coffee glass. Now is there more coffee in tea or more tea in coffee?

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Solution

Let's consider each glass can hold 100 ml of liquid and one spoon will have 10 ml of liquid.
so first you take 10 ml of coffee from glass 1 and pour it into glass 2
so glass 1 has 90 ml of coffee and glass 2 has 100 ml tea + 10 ml coffee
now we take 1 spoon of liquid from 2nd glass and pour it to first glass,
now glass 1 will have 90 ml of coffee + 10 ml of tea/coffee mixture which has (0.909 ml of coffee and 9.09 ml of tea)
whereas, glass 2 will have 90.91 ml of tea + 9.091 ml of coffee.

now let us see the total content,
glass # coffee tea
1 90.909 ml 9.09 ml
2 9.091 ml 90.91 ml

looks like the tea cup has more coffee.

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