SOLUTION: A grocer mixed nuts worth $4 per kilograms with raisins worth $3.25 per kilogram to make 15 kg of a mixture worth $3.69 per kilogram. How many kilograms of nuts were used ?

Question 720539: A grocer mixed nuts worth $4 per kilograms with raisins worth $3.25 per kilogram to make 15 kg of a mixture worth $3.69 per kilogram. How many kilograms of nuts were used ?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
An item at a price H was mixed with an item at price L to make M quantity of mixture worth T. How much of each item was used?

Let u = amount of lower priced item to use
Let v = amount of higher proced item to use

and . Solve for and find u and v.

From rational equation, . Using the M sum equation, .

, and because T-H and L-H are both negative, multiplication by gives us:
.

You can continue onward to solve for v, and then substitute given values to compute u and v.
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