SOLUTION: 1 lb. soy meal has 14% protein 1 lb. corn meal has 7% protein How many pounds of each is mixed together for a total weight of 280 lbs. with a 11% protein

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Question 429790: 1 lb. soy meal has 14% protein
1 lb. corn meal has 7% protein
How many pounds of each is mixed together for a total weight of 280 lbs. with a 11% protein

Found 2 solutions by mananth, josmiceli:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
percent ----------------quantity
Soy meal 14 ----------------x pounds
Corn meal 7 ----------------280-x pounds
Total 11.00% ----------------280
14x+7(280-x)=11*280
14x+1960-7x=3080
14x-7x=3080-1960
7x=1120
/7
x=160 pounds Soy meal
120 pounds corn meal

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = pounds of soy meal needed
Let = pounds of corn meal needed
given:
(1)
(2)
------------------
(1)
(1)
(1)
Multiply both sides of (2) by
and subtract (2) from (1)
(1)
(2)


and, since
(2)


160 pounds of soy meal is needed
120 pounds of corn meal is needed

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