A dairy farmer wants to mix a 55 protein supplement and a st

A dairy farmer wants to mix a 55% protein supplement and a standard 45 % protein ration to make 1400 pounds of a high-grade 50 % protein ration. How many pounds of each should he use? _______ pounds of 55 % ________pounds of 45%

Solution

Solution:
Protein supplement (x)=55%

A standard 20% protein ration (1400-x)=45%

= 0.55x+ 0.45(1400-x)=1400(.50)

= 0.55x+0.45(1400-x)= 700

= 0.55x+630 - 0.45x = 700

= 0.1x = 70
= x=700

= 1400-x = 1400-700 = 700