SOLUTION: Farmer wants to make a 2400 lb. feed mixture that will be 14% protein. 25% will be Barley(11.7% protein). the rest or 75 % will consist of oats(11.8% protein) and Soy meal(44.5%

Question 967608: Farmer wants to make a 2400 lb. feed mixture that will be 14% protein.
25% will be Barley(11.7% protein).
the rest or 75 % will consist of oats(11.8% protein) and Soy meal(44.5% protein).
how much of each will he add?
the 2400 lbs. will provide .14 x 2400 = 336 lbs. of prtoein.
the 25% Barley = 600 lbs. it will provide .117 x 600 lbs= 70.20 pounds of protein.
the rest is 1800 lbs. this amount will provide @ 265.80 lbs.
this is where I am stuck.
I don't know how to set up the equation to get the amounts of each of the remaining feeds needed to provide the 265.80 lbs.
Help please.
Answer by askhari139(3) (Show Source): You can put this solution on YOUR website!
At this point, you need to divide 1800 lb into oats and soy meal. So, let us assume that farmer adds x lb of oats. Then, the added soy meal will be 1800-x lb.
Total protein content obtained will be (x*0.118)+ ((1800-x)*0.445) which needs to be equal to the 265.80 lb that you calculated.
Therefore,
(x*0.118)+((1800-x)*0.445) = 265.80
1800* 0.445 - 265.80 = x*(0.445-0.118)
535.2 = x*0.327
Hence x = amount of oats added = 1636.69 lb
amount of soy meal = 1800-x = 163.20
CHECK:
total protein required = 0.14*2400 = 336
total protein added = 600*0.117 + 1636.69*0.118 + 163.20*0.445 = 70.2+193.13+72.624 = 335.954

RELATED QUESTIONS
Feeding cattle: A farmer wants to mix 2,400 pounds of cattle feed that is to be 14%... (answered by ptaylor)

Linda wants to make a mixture of grain that has 15% protein for her horse. She has30kg... (answered by josgarithmetic)

1. A farmer has two types of feed that are 12% protein and 18% protein respectively. How... (answered by richwmiller)

a farmer mixes wheat based feed (12% protein) with a corn based feed (7% protein) to make (answered by richwmiller)

soybean meal is 14% protein, cornmeal is 7% protein how many pounds of each would be... (answered by checkley77)

In my problem a farmer needs 450lbs of chicken feed mixture that is at least 15% protein. (answered by Fombitz)

soybean meal is 14% protein;cornmeal is 7% protein, how many pounds of each should be... (answered by checkley77,nyc_function)

Soybean meal is 14% protein, cornmeal is 7% protein. How many pounds of each should be... (answered by checkley77)

Soybean meal is 14% protein; cormeal is 7% protein. How many pounds of each should be... (answered by josmiceli)