SOLUTION: Soybean meal is 16% protein; cornmela is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 14% protein? How many pounds of the

Question 146587: Soybean meal is 16% protein; cornmela is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 14% protein?
How many pounds of the cornmeal should be in the mixture?
How many pounds of the soybean should be in the mixture?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
let x= # of pounds of soybean meal and y=# of pounds of cornmeal

Since we want a 320 mixture, this means that we have the first equation:

Also, because we want a "320-lb mixture that is 14% protein" from the mixture of
soybean meal that is 16% protein and "cornmeal that is 8% protein, we have the second equation:

Multiply

Multiply both sides by 10 to remove the decimals

Distribute

So we have the new system of equations:

Start with the first equation

Subtract from both sides

Rearrange the equation

---------------------

Since , we can now replace each in the second equation with to solve for

Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.

Distribute to

Multiply

Combine like terms on the left side

Subtract 2560 from both sides

Combine like terms on the right side

Divide both sides by 8 to isolate x

Divide

-----------------First Answer------------------------------

So the first part of our answer is:

Since we know that we can plug it into the equation (remember we previously solved for in the first equation).

Start with the equation where was previously isolated.

Plug in

Multiply

Combine like terms

-----------------Second Answer------------------------------

So the second part of our answer is:

-----------------Summary------------------------------

So our answers are:

and

which form the ordered pair

So there are 240 pounds of Soybean meal and 80 pounds of cornmeal

RELATED QUESTIONS
Soybean meal is 16% protein. Cornmeal is 8% protein. How many pounds of each should be... (answered by ankor@dixie-net.com)

soybean meal is 16% protein: conrmeal is 8% protein. How many pounds of each should be... (answered by CharlesG2)

soybean meal is 16% protein, cornmeal is 8% protein. how many pounds of each should be... (answered by checkley77)

Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be... (answered by josgarithmetic,MathTherapy,greenestamps)

Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be... (answered by checkley77)

Soy bean 16% protein; corn meal 8% protein; How many pounds of each should be mixed... (answered by nerdybill)

Soybean meal in 16% protein; cornmeal is 8% protein. How many pounds of each should be... (answered by josmiceli)

Soybean meal is 16% protein; cormeal is 8% protein. How many pounds of each should be... (answered by scott8148)

Soybean meal is 16% protein. Cornmeal is 8% protein. How many pounds of EACH should be... (answered by drk)