Answer
A
Work Step by Step
We have to consider the two areas where the circles for hot dogs and hamburgers intersect. We add 24 and 12 to obtain that 36 people like hot dogs and hamburgers. We now can add up all of the people in the survey. We find that there are 150 people that were surveyed. Thus, we find the percentage of people that like hot dogs and hamburgers: $(36/150) \times 100 =24$%. 24% of people like hot dogs and hamburgers, so we can multiply 850 by .24 to obtain that 204 people should be expected to like hot dogs and hamburgers.