Answer:
1 1/4 pounds.
Explanation:
The ratio of beef to pork is 3:1. What this means is that out of the 5 pounds of meat Mike will use for his meatloaf, 3 parts of it will be beef and 1 part will be pork, which gives us four parts total.
So the ratio of pork to total meat would be 1:4, or 1/4. Now we need to multiply 5 by 1/4 in order to get the amount of pork. Since multiplying by 1/4 is the same as dividing by 4, we can just divide to make things simpler.
![p = 5 * (1)/(4) \\ p = (5)/(4)](https://img.qammunity.org/qa-images/2022/formulas/mathematics/high-school/e8f228nj5sci9fho2k0q2s.png)
The answer, expressed as an improper fraction, is 5/4. However, the question is asking for a mixed number, so we'll need to convert our answer. We just need to subtract from the numerator so that the fraction is equal to 4/4.
![(5)/(4) - (4)/(4) = (1)/(4)](https://img.qammunity.org/qa-images/2022/formulas/mathematics/high-school/pjzqs2ganu745o5iq168zm.png)
Since 4/4 is equivalent to 1, we'll just simplify this further.
![p = (4)/(4) + (1)/(4) \\ p = 1 (1)/(4)](https://img.qammunity.org/qa-images/2022/formulas/mathematics/high-school/s6e1w3pwkxgzzk0ybpwluu.png)