Question

A dairy farmer wants to mix 75% protein supplement and 50% protein ration to make 1400 pounds of a high grade 70% protein ration. How many pounds of each should he use

Answer 1

The dairy farmer would mix 1120 pounds of 75% protein supplement and 280 pounds of 50% protein ration to make 1400 pounds of a high grade 70% protein ration.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the amount of 75% protein supplement and y represent the amount of 50% protein, hence:

x + y = 1400     (1)

Also:

0.75x + 0.5y = 0.7(1400)     (2)

Hence:

x = 1120, y = 280

The dairy farmer would mix 1120 pounds of 75% protein supplement and 280 pounds of 50% protein ration to make 1400 pounds of a high grade 70% protein ration.

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