SOLUTION: A corn mean feed is 10% protein and a feed supplement is 40% protein. How much of each must be conbined to get 2400 pounds of feed that is 19% protein?

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Question 65598This question is from textbook An Incremental Development
: A corn mean feed is 10% protein and a feed supplement is 40% protein. How much of each must be conbined to get 2400 pounds of feed that is 19% protein? This question is from textbook An Incremental Development

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=amount of corn meal feed that is 10% protein
Then 2400-x=amount of 40% supplement
Now we know that the amount of pure protein in the corn meal feed (.10)(x) plus the amount of pure protein in the 40% supplement (2400-x)(.40) must equal the amount of pure protein in the final mixture(2400)(.19). So our equation to solve is:
(.10)(x)+(2400-x)(.40)=(2400)(.19) simplifying we get:
.10x+960-.40x=456 collecting like terms we have:
-.30x=456-960
-.30x=-504
x=1680 pounds of 10% corn meal feed
2400-x=2400-1680=720 pounds of 40% supplement
ck
1680(.10)+720(.40)=2400(.19)
168+288=456
456=456
Hope this helps----ptaylor