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Mathematics-Online problems:
Problem of the week
The bottles in the figure below are filled with an alcoholic liquid having different alcohol contents. The left bottle is filled to one third, the center bottle to two thirds and the right bottle is filled completely.
The contents of the bottles are mixed by completely filling up one of the partly filled bottles from one of the other two bottles. What are the possible alcohol contents of a full bottle after one or two acts of decanting?
What is the alcohol content when mixing the liquid of all three bottles?
Answer:
Possible alcohol contents after one or two acts of decanting:
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<
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Total alcohol content:
(All results in % and ascending order.)
[
solution to the problem of the previous week
]
