To solve this problem, we first determine how many people preferred pasta and then subtract that from the total to find how many favored hamburgers.

Step 1: Calculate the number of people who preferred pasta

We are given that 1/9 of the people preferred pasta. So:

$\text{Number of people who preferred pasta} = \frac{1}{9} \times 5400 = 600$

Step 2: Calculate the number of people who preferred hamburgers

Since 5,400 people responded to the survey, the remaining people must have preferred hamburgers. Therefore:

$\text{Number of people who preferred hamburgers} = 5400 - 600 = 4800$

Thus, 4,800 people favored hamburgers.

Would you like more details or have any further questions?

Here are 5 related questions to expand your understanding:

1. What fraction of the survey respondents preferred hamburgers?
2. If 1,200 people responded to a similar survey, how many would likely prefer pasta?
3. If 3/4 of those who preferred pasta also liked pizza, how many people is that?
4. What percentage of the respondents favored pasta?
5. How would the number of hamburger lovers change if 10,000 people responded?

Tip: When dealing with fractions in surveys or polls, always confirm that you're interpreting the fraction correctly as a part of the total respondents.