Question 317426
soybean is 16% protein.
cornmeal is 8% protein.


x = amount of soybeans
y = amount of cornmeal


x + y = 320


amount of protein in 320 pound mixture if equal to .10 * 320 = 32


amount of protein in x pounds of soybeans is .16 * x
amount of protein in 6 pounds of cornmeal is .08 * y


.16*x + .08*y = .10*320


You have 2 equations that need to be solved simultaneously.


They are:


x + y = 320
.16x + .08y = 32


sole for y in the first equation to get:


y = 320 - x


substitute in the second equation to get:


.16x + .08(320-x) = 32 pounds of protein in the mixture.


simplify to get:


.16x + 25.6 - .08x = 32


combine like terms to get:


.08x + 25.6 = 32


subtract 25.6 from both sides of the equation to get:


.08x = 6.4


divide both sides of the equation by .08 to get:


x = 80


You need 80 pounds of soybeans which means you need 240 pounds of cornmeal.


.16*80 + .08*240 = 12.8 + 19.2 = 32 pounds of protein.


answer is you need 80 pounds of soybeans and 240 pounds of cornmeal.