A milling company wants to mix alfalfa, which contain 20% protein, and wheat mids,† which contain 15% protein, to make cattle feed.

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter1: Equations And Inequalities
Section1.2: Applications Of Linear Equations
Problem 62E
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A milling company wants to mix alfalfa, which contain 20% protein, and wheat mids,† which contain 15% protein, to make cattle feed.

(a) If you make a mixture of 30 pounds of alfalfa and 60 pounds of wheat mids, how many pounds of protein are in the mixture? (Hint: In the 30 pounds of alfalfa, there are 
30 ✕ 0.2 = 6
 pounds of protein.)
 lbs

(b) Write a formula that gives the amount of protein in a mixture of a pounds of alfalfa and w pounds of wheat mids.
p(a, w) = 
 
 
(c) Suppose the milling company wants to make 1000 pounds of cattle feed that contains 17% protein. How many pounds of alfalfa and how many pounds of wheat mids must be used?
alfalfa      lbs
wheat mids      lbs

 

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