Problema Solution
Soy bean meal is 14% protein;cornmeal is 7% protein. How many pounds of each should be mixed together in order to 280-lb mixture that is 11% protein? How many pounds of the cornmeal should be in the mixture? How many pounds of the soy bean meal should be in the mixture?
Answer provided by our tutors
Let x be the pounds of soy bean.
Let y be the pounds of cornmeal.
x + y = 280
Both add up to 280 pounds.
x = 280 - y
0.14x + 0.07y = 0.11(280)
Basically 14% of soybean and 7% of cornmeal will make 11% protein in the mixture.
Now you just plug in the x we found.
0.14(280 - y) + 0.07y = 0.11(280)
39.2 - 0.14y + 0.07y = 30.8
- 0.07y = -8.4
y = 120
So you need 120 pounds of cornmeal and 280-120= 160 pounds of soybean.