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?

Rationale

5 people ate only hot dogs.

The Venn diagram shows the distribution of people who ate each meal at a picnic. The number of people who ate only hot dogs can be determined by analyzing the specific sector of the diagram that represents only hot dogs, excluding the areas where hot dogs overlap with other meals.

A (27) YOUR ANSWER

This choice may result from a misunderstanding of the Venn diagram. 27 people might be the total number of people who ate hot dogs, but this would include those who also ate other meals. The question specifically asks for the number of people who ate only hot dogs, which necessitates excluding those who ate hot dogs in combination with other meals.

B (5) CORRECT

The correct answer. This represents the number of people who ate only hot dogs, as indicated by the standalone sector for hot dogs on the Venn diagram. These individuals did not consume any other meals at the picnic.

C (10) YOUR ANSWER

This answer could be a misinterpretation of the Venn diagram, possibly confusing the number of people who ate only hot dogs with those who ate hot dogs and another meal, or those who ate only another specific meal.

D (17) YOUR ANSWER

This choice could be a result of incorrectly adding the number of people who ate only hot dogs with those who ate hot dogs and another meal. This does not answer the question, as it does not solely represent people who ate only hot dogs.

Conclusion

The Venn diagram provides a clear representation of the distribution of people who ate each meal at the picnic. From this, it can be determined that 5 people ate only hot dogs, ruling out the other options which may have been derived from misinterpretations or miscalculations based on the Venn diagram. It's important to understand that in a Venn diagram, each segment represents a different group, and in this case, the question was specifically about the group of individuals who ate only hot dogs.

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?

5 people ate only hot dogs.

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