SOLUTION: In what ratio must a peanut costing $5.71 per kg be mixed with a peanut costing $ 8.5 per kg so that a profit of 20% is made by selling the mixture at $9 per kg?

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Question 814903: In what ratio must a peanut costing $5.71 per kg be mixed with a peanut costing
$ 8.5 per kg so that a profit of 20% is made by selling the mixture at $9 per kg?
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
You want 9 dollars per kg to be 20% more than the price for the mixture.
Some p mixture price before profit;

dollars per kilogram, price of the mixture BEFORE profit.

The rest of the solution is just a standard two part mixture problem in which you treat prices like concentrations.

u is kg of the cheap peanuts and v is the kg of the expensive peanuts, and you can choose 100 kg. peanut mixture.

and
Solve for u and v.
The choice of 100 for the kilograms of the mixture was just arbitrary; you could choose a different value. What you were asked was for the ratio between u and v.