A hard question: orange sellers must end up w/ same profit

iseeyou

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Apr 7, 2009
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Monday my Calculus math teacher asked the class a question. The question goes as is:

there are 90 oranges and 3 sellers.

seller one gets 10
seller two gets 30
seller three gets 50

the seller with 10 oranges sets the price that the other two have to sell for. for example if seller one sells oranges for 1 dollar then the rest will also have to sell it at the same price. The catch is you can not use fractions or percentages and they must ALL end up with the same profit. That is right they must all have the same profit at the end. Below is as far as i have gotten but am not sure if its right or if some one knows the answer for it. Thanks for the help in advance.


10= 2 for $6 = 30
Process is done 5 times for each person. No fractions or percentage are used.

30= 6 for $6 = 30


50= 10 for $6 = 30
 
It strikes me that there may be some information missing.

What are you asked to actually find?
 
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