SOLUTION: A merchant wishes to mix two grades of peanuts costing $3 and $4 per pound, respectively, with cashews costing $8 per pound, to obtain 140 pounds of a mixture costing $6 per pound.

Question 1029941: A merchant wishes to mix two grades of peanuts costing $3 and $4 per pound, respectively, with cashews costing $8 per pound, to obtain 140 pounds of a mixture costing $6 per pound. If the merchant also wants the amount of cheaper-grade peanuts to be twice that of the better-grade peanuts, how
many pounds of each variety should be mixed?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
z for cashews
x and y for the peanuts, cheap and expensive in that order

from which

Poundage:

Mixture Price:

Make the substitution for x, and simplify into the TWO variable system:

further simplifiable to
-------------solve this system for y and z, and then find x from the earlier given equation from the description.
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