Guernsey Holstein

Three Guernsey cows and two Holstein cows give as much milk in four days as two Guernseys and four Holsteins give in three days. Which breed produces more milk, Guernsey or Holstein?


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Let G and H represent the daily milk production of one Guernsey cow and one Holstein cow, respectively.

Then we have:

4(3G + 2H) = 3(2G + 4H) → 12G + 8H = 6G + 12H → 6G = 4H → G = 2/3 H

So the Holstein breed produces more, IF the data stated in the problem are true. Does anyone have information about this?

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