To cut costs, the new manager at Healthy Options wants to mix 4,000 pounds of cat food. The mixture is to have 10% protein. The first ingredient contains 8% protein. The second has 13% protein. How many pounds of the 8% protein ingredient is needed?
A) 1,200 pounds of 8%
B) 2,400 pounds of 8%
C) 1,360 pounds of 8%
D) 1,880 pounds of 8%
E) 1,500 pounds of 8%

Question

Quizplus · Accepted Answer

To solve this, we use the method of weighted averages. Let x be the amount of the 8% protein ingredient, and (4000 - x) be the amount of the 13% protein ingredient. The total protein content desired is 10% of 4000 pounds, which equals 400 pounds. The equation to represent this situation is:0.08x + 0.13(4000 - x) = 400Solving for x gives us 2,400 pounds of the 8% protein ingredient needed.

To Cut Costs, the New Manager at Healthy Options Wants