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Consider three types of sugar priced at 10, 12 and 18 per kg be mixed to form a mixture of price 14 per kg.

Find the ratio in which three types of sugar were mixed.

The answer is 3:4:5

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    It seems to me the solution is not unique. But since 14 is midway between 10 and 18, isn't there an easy solution involving just those two, and none of the 12 sugar?2012-05-16
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    If the answer is as stated, then there *must* be another constraint (or two). For example, perhaps the three values must form a right triangle (probably it is not this!), and I am guessing from the elementary number theory tag the other missing constraint is that the amounts in kilograms must all be positive integers. Can you double check what other constraints exist for this problem?2012-05-16

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