A dairy farmer wants to mix a 80% protein supplement and a standard 55% protein ration to make 1400 pounds of a high-grade 60% protein ration. How many pounds of each should he use?

Answer 1

a + b = 1400 -----> a = 1400 - b

80a + 55b = 60(1400)

80(1400 - b) + 55b = 84,000

112,000 - 80b + 55b = 84,000

25b = 28,000

b = 1120 pounds

a = 1400 - 1120

a = 280 pounds