SOLUTION: Walnuts Cost $3.60 Per Pound And Peanuts Cost $2.70 Per Pound. For A Fundraiser, The Softball Team Will Be Selling Bags Of Mixed Nuts. How Many Pounds Of Walnuts And How Many Pound

Question 1135175: Walnuts Cost $3.60 Per Pound And Peanuts Cost $2.70 Per Pound. For A Fundraiser, The Softball Team Will Be Selling Bags Of Mixed Nuts. How Many Pounds Of Walnuts And How Many Pounds Peanuts Should The Team Buy In Order To Make 60 Pound Mixture That Will Sell For $3.00 Per Pound?
Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

With the traditional algebraic solution method (very slow; but you should understand it):

x pounds of walnuts at $3.60 per pound, plus (60-x) pounds of peanuts at $2.70 per pound, equals 60 pounds of mixture at $3.00 per pound:

It's basic algebra; I leave it to you to solve the equation and find the answer.

A much faster path to the answer:

$3.00 per pound is twice as close to $2.70 per pound as it is to $3.60 per pound ($3.60-$3.00 = $0.60; $3.00-$2.70 = $0.30), so use twice as many peanuts as walnuts. So 40 pounds of peanuts and 20 pounds of walnuts.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Peanuts price dollars per pound, L=2.7
Walnuts price dollars per pound, H=3.6
Mixture quantity, pounds M=60
Mixture price, T=3

Question asks for quantity pounds of peanuts, p.
The quantity of walnuts would be M-p.

-
Solve for p, and substitute the given values.
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