please solve

Question

soybean meal is 16% protein. Cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-1b mixture that is 9% protein?

 

pounds =

Answer 1

let # of lbs of soybean = x

let # of lbs of corn = y

 

x+y=3201

.16x+.08y=3201(.09)

.16x+.08y=288.09

 

let's use substitution for this system.

y= 3201-x, so .16x+.08(3201-x)= 288.09

.16x+256.08 - .08x = 288.09 and use like term:

.08x=32.01

x=400.125 lbs soybeans

y= 3201-400.125 = 2800.875 lbs corn