9. The Venn diagram shows the number of people who ate each of the meals at a picnic. There were two groups of 30 people each. How many people ate only hot dogs?
Answer: B
5 people ate only hot dogs.
At the picnic, the Venn diagram indicates that 5 individuals exclusively consumed hot dogs, illustrating the specific count of people who did not partake in any other meals offered.
A) 27
This option is incorrect because a count of 27 would imply that a vast majority of the attendees ate only hot dogs, which contradicts the data shown in the Venn diagram. The total number of people is limited, and such a high figure does not align with the findings.
B) 5
This choice is correct as it aligns perfectly with the information presented in the Venn diagram. It accurately reflects the number of individuals who solely enjoyed hot dogs without engaging in other meal options.
C) 10
This option is not correct because it overestimates the number of people who ate only hot dogs. The Venn diagram specifies that only 5 people fit this category, making 10 an inaccurate representation of the data.
D) 17
This choice is incorrect as well. A count of 17 would suggest a significant portion of the attendees opted for only hot dogs, which does not match the Venn diagram's representation of the meal consumption at the picnic.
Conclusion
The definitive answer of 5 people who ate only hot dogs is supported by the data presented in the Venn diagram. All other options fail to represent the actual numbers accurately, demonstrating a clear misunderstanding of the distribution of meal choices among the picnic attendees. Thus, 5 is the only option that reflects the true count of individuals who exclusively consumed hot dogs.