Question 157023: I need help working this problem.
1. Irene 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, weight, 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% protein, whereas grain has a 12% content. How many pounds of hay and grain should she feed her horse each day?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! On the basis of her horse’s age, weight, 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% protein, whereas grain has a 12% content. How many pounds of hay and grain should she feed her horse each day?
:
Let x = amt of hay required
let y = amt of grain
:
From the information we can make two equations:
:
The total weight equation
x + y = 15
x = (15-y); can be used for substitution in this form
:
The per cent protein equation
.06x + .12y = .08(15)
:
Substitute (15-y) for x in the above equation, find y:
.06(15-y) + .12y = .08(15)
:
.9 - .06y + .12y = 1.2
:
-.06y + .12y = 1.2 - .9
:
.06y = .3
y = 
y = 5 lb of grain
and
15 - 5 = 10 lb of hay
;
:
you can check our solutions in the original equation
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