Question

A veterinarian needs 60 pounds of dog food that is 15% protein. He will combine a beef mix that is 18% protein with a bacon mix that is 9% protein. How many pounds of each does he need to make the 15% protein mixture?

A) 40 pounds of beef mix and 20 pounds of bacon mix

B) 30 pounds of beef mix and 30 pounds of bacon mix

C) 20 pounds of beef mix and 40 pounds of bacon mix

D) 10 pounds of beef mix and 50 pounds of bacon mix

Answer 1

To make the 15% protein mixture, the veterinarian needs 40 pounds of beef mix and 20 pounds of bacon mix.

Step-by-step explanation:

To solve this problem, we can use a system of equations.

Let x represent the number of pounds of beef mix, and y represent the number of pounds of bacon mix.

We have two equations:

1. x + y = 60 (equation 1)
2. (0.18x + 0.09y)/60 = 0.15 (equation 2)

From equation 1, we can rewrite it as x = 60 - y.

Substituting x = 60 - y into equation 2, we get (0.18(60 - y) + 0.09y)/60 = 0.15.

Simplifying the equation, we have 10.8 - 0.18y + 0.09y = 0.15 * 60.

Combining like terms, we get 10.8 - 0.09y = 9.

Subtracting 10.8 from both sides, we get -0.09y = -1.8.

Dividing both sides by -0.09, we get y = 20.

Substituting y = 20 back into equation 1, we can find x: x = 60 - y = 60 - 20 = 40.

Therefore, the veterinarian needs 40 pounds of beef mix and 20 pounds of bacon mix to make the 15% protein mixture.