Question

Problem is attached in the picture.

Answer 1

Oh a mixture prob. a?

Answer 2

Yeah it is.

Answer 3

that's what I got..

Answer 4

missed the decimal at the beginning. let me try again.
\[.18x+.09(360-x)=.11\times 360\] finally

Answer 5

so whatever you get for x with that equation is the amount of soy in LBS

Answer 6

and 360 - the amount of soy, is the amount of corn

Answer 7

reasoning as follows. if x is the amount of 18 % mixture then it has 18% of x protein, this is .18x
and since the total is 360 the 9% mixture must be 360-x, and it has 9% protein so it contributes .09(360-x) protein. you end up with 11$ of 360 which is .11*360

Answer 8

now we solve. get rid of the stupid decimal first
\[18x+9(360-x)=11\times 360\]
\[18x+3240-9x=3960\]
\[9x=720\]
\[x=80\]