Answer:
1 1/4 pounds.
Step-by-step 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.
[tex]p = 5 \times \frac{1}{4} \\ p = \frac{5}{4} [/tex]
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.
[tex] \frac{5}{4} - \frac{4}{4} = \frac{1}{4} [/tex]
Since 4/4 is equivalent to 1, we'll just simplify this further.
[tex]p = \frac{4}{4} + \frac{1}{4} \\ p = 1 \frac{1}{4} [/tex]