Final answer:
To find the number of people who prefer hamburgers, subtract the number of people who like pizza and corn dogs from the total number of people surveyed.
Step-by-step explanation:
To find the number of people who prefer hamburgers, we need to subtract the number of people who like pizza and corn dogs from the total number of people surveyed.
28 * (1/4) = 7 people like pizza
28 * (2/7) = 8 people like corn dogs
Therefore, the remaining people prefer hamburgers:
28 - 7 (pizza) - 8 (corn dogs) = 13
So, 13 people prefer hamburgers. The answer is 13.