Benediktov Problem

Hey, I once read this problem, but still cant find the solution to it.
It goes like this,

One women made a living by selling eggs, had 90 eggs which she wanted her three daughters to sell. So she gave her eldest daughter 10 eggs, 30 to her second daughter and 50 to the youngest.

'You better agree among yourselves', she told them, ' about the price you're going to ask fo you eggs, and stick to it. But I hope that the eldest will recieve as much for her 10 eggs as the second will for her 30 eggs and the third for her 50 eggs. In other words each of you should bring back the same amount of money and keep in mind, the total for 90 eggs should not be less than 90 bucks.'

Although Benediktov says that the daughters were smart enough to find a way out, but I guess I am not that smart.

so kindly help me in getting a solution for this.

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HallsofIvy
Anyway, if we assume that "as much for here 10 eggs",etc. means total eggs, then she is saying that she hopes each will make the same amount in total. Since she expects " the total for 90 eggs should not be less than 90 bucks.", we want the total to be at least $90. Okay, 1/3 of that is$30 so the first daughter must charge $3 for each of her 10 eggs, the second$1 for each of her 30 eggs and the third daughter $0.60 for each of her 50 eggs. Doesn't sound very likely to me. If the interpretation "the daughters sell their eggs for the same price per egg" is correct, then obviously each should sell her eggs for at least$1 per egg- which is much too easy and also doesn't make much sense.