Final answer:
Both batches of split pea and ham soup had the same ratio of ham to pea soup (1/4), so they would have had the same ham flavor intensity.
Step-by-step explanation:
To determine which batch of soup had a stronger ham flavor, we need to compare the ratio of ham to pea soup in each batch. In the first batch, the chef added 4 cups of ham to 16 cups of pea soup, which gives us a ratio of 4/16, or 1/4, when simplified. This means there was one cup of ham for every four cups of pea soup. In the second batch, 2 cups of ham was added to 8 cups of pea soup, also resulting in a ratio of 2/8, which simplifies to 1/4. Therefore, both batches of soup had the same ham to pea soup ratio and would have had a similar ham flavor intensity.