Question

The Venn diagram shows the number of employers who ranked skills important for careers in their field.

C represents communication, T represents technical skills, and M represents the ability to handle money.

Circles C, T, and M overlap. Circle C contains 9, circle T contains 7, and circle M contains 19. The overlap of C and M contains 22, the overlap of M and T contains 21, and the overlap of T and C contains 18. The overlap of all 3 circles contains 25.

How many employers ask that employees be skilled in communication and handling money?

47
50
67
86

Answers

Answered by GPT-4o mini
To find the number of employers who ask for skills in communication (C) and handling money (M), we need to look for the total count of employers who fall into the respective category of C and M, including those who have skills in other areas as well.

The important values we have from the Venn diagram are:
- Circle C (communication) = 9
- Circle T (technical skills) = 7
- Circle M (handling money) = 19
- Overlap of C and M (only C and M) = 22
- Overlap of M and T (only M and T) = 21
- Overlap of T and C (only T and C) = 18
- Overlap of all three circles (C, M, and T) = 25

To find the total number of employers skilled in communication and handling money (C ∩ M), we have:
- The overlapping section of C and T is 18
- The overlapping section of M and T is 21
- The overlapping section of C, M, and T is 25

However, considering only those that have both C and M, we can find the segments:
\[
\text{C and M} = (\text{Only C and M}) + (\text{C and M and T}) = 22 + 25 = 47
\]

Therefore, the final answer for the total number of employers who ask that employees be skilled in communication and handling money is:

**47**.
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