Soybean meal is 16% protien, cornmeal is 8% protien. How many pounds of each should be mixed together in order to get 320-lb mixture that is 14% protien?

Question

anonymous · Answer

i could have sworn i just did  this problem. matter of fact i am sure of it.

anonymous · Answer

good then you can tell me how to solve it lol

anonymous · Answer

be happy to write it again in you missed it.

anonymous · Answer

sure.  in english or equation?  or both?

anonymous · Answer

equation so I can see how it is solved

anonymous · Answer

ok 
you want to end up with 14% of 320=44.8 pounds of protein.  16% will come from soybeans so if we call x the amount of soybeans you will get .16 x 
the rest will come from cornmeal and since you will have 320 pounds total if you have 0 amount of soybeans you will have 320 - x amount of cornmeal, 8 % of which is 
$$.08\times(320-x)$$

anonymous · Answer

so you get the equation 
$$.16x+.08(320-x)=.14\times 320=44.8$$

anonymous · Answer

now we solve for x:
$$.16x+.08(320-x)=44.8$$
$$.16x+25.6-.08x=44.8$$
$$.08x+25.6=44.8$$
$$.08x=44.8-25.6=19.2$$
$$x=\frac{19.2}{.08}=240$$

anonymous · Answer

and of course that makes the amount of cornmeal 80

anonymous · Answer

so it would be 44.8 ponds of soybean and 19.2 pounds of cornmeal is that right?

anonymous · Answer

oh no

anonymous · Answer

solving for x gives x = 240

anonymous · Answer

240 pounds of soybeans and therefore 80 pounds of cornmeal

anonymous · Answer

oh ok

anonymous · Answer

clear or no?

anonymous · Answer

yes clearer now

anonymous · Answer

k