SOLUTION: Grain Mixtures for Horses: Brianna is a barn manager at a horse stable. She needs to calculate the correct mix of grain and hay to feed her horse. On the basis of her horse's age,

Question 137432This question is from textbook Introductory Algebra
: Grain Mixtures for Horses: Brianna is a barn manager at a horse stable. She needs to calculate the correct mix of grain and hay to feed her horse. On the basis of her horse's age, wieght, and workload, she determines that he needs to eat 15 lb of feed per day, with an average protein content of 8%. Hay contains 6%, whereas grain has a 12% protein content. How many pounds of hay and grain should she feed her horse each day?
I've been stuck on this problem for more than a few hours, any help will be appreciated. Thank you. This question is from textbook Introductory Algebra

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
.12x+.06(15-x)=15*.08
.12x+.9-.06x=1.2
.06x=1.2-.9
.06x=.3
x=.3/.06
x=5 lb of grain should be used.
15-5=10 lb of hay should be used.
proof
.12*5+.06*10=1.2
.6+.6=1.2
1.2=1.2

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