SOLUTION: The Nutty Professor sells cashews for $6.40 per pound and Brazil nuts for $5.10 per pound. How much of each type should be used to make a 26 pound mixture that sells for $5.80 per

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Question 1129723: The Nutty Professor sells cashews for $6.40 per pound and Brazil nuts for $5.10 per pound. How much of each type should be used to make a 26 pound mixture that sells for $5.80 per pound?
___ Pounds of cashews
___ pounds of brazil nuts

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The description could as well be:
Nutty Professor sells cashews for $ L per pound and Brazil nuts for $ H per pound. How much of each type should be used to make a M pound mixture that sells for $ T per pound?

x, amount of the more expensive item
M-x, amount of the less expensive item
L, price per pound less expensive item
H, price per pound more expensive item
T, target price for mix

Hx%2BL%28M-x%29=TM, equation to account for the cost of the mixture.
Hx%2BLM-Lx=TM
Hx-Lx=TM-LM
%28H-L%29x=TM-LM
highlight%28x=%28TM-LM%29%2F%28H-L%29%29

Substitute the given values for M, T, H, and L. Evaluate x and M-x.