SOLUTION: The Modern Grocery has cashews that sell for $4.25 a pound and peanuts that sell for 2.75 a pound. How much of each must Albert, the grocer, mix to get 60 pounds of mixture that h

Question 788836: The Modern Grocery has cashews that sell for $4.25 a pound and peanuts that sell for 2.75 a pound. How much of each must Albert, the grocer, mix to get 60 pounds of mixture that he can sell for 3.00 per pound.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Mixture problem. The concentration is in the form of dollars per pound.

H = 4.25 dollars per pound, Cashews
T = 3.00 dollars per pound, Mixture
L = 2.75 dollars per pound, Peanuts
M = 60 pounds, amount of mixture
u = amount of peanuts in pounds, UNKNOWN
v = amount of cashews, UNKNOWN

The equations which make this system are:
and
Solve this system for the unknown variables, u and v.

WHY EVERYTHING IN SYMBOLS?
Very many two-part mixture problems are this same general type. When you recognize them, solving this general problem will also give the solutions to every example of this type. No matter if an example of cement & sand; dyes in solution, percent salt, percent acid mixture, percent acid mixture, or blends of materials with different prices,... all the same.

Tell me if you have further trouble with this.
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