Question

gebra i b-cr
the venn diagram shows the number of patients seen
at a pediatricians office in one week for colds, c, ear
infections, e, and allergies, a.
how many patients had allergies or ear infections, but
not both?
○ 24
○ 27
○ 36
○ 40

Explanation:

Step1: Identify non-overlapping C values

Add numbers only in C, not shared: $4 + 2 = 6$

Step2: Identify non-overlapping E values

Add numbers only in E, not shared: $9 + 3 = 12$

Step3: Identify non-overlapping A values

Add numbers only in A, not shared: $15$

Step4: Sum all non-overlapping values

Add the three results together: $6 + 12 + 15 = 33$
Wait, correction: Re-identify values for "allergies OR ear infections, but NOT both"

Step1: Isolate only allergies (not E)

Values in A not overlapping E: $2 + 15 = 17$

Step2: Isolate only ear infections (not A)

Values in E not overlapping A: $9 + 10 = 19$

Step3: Sum the two groups

Add the two results: $17 + 19 = 36$

Answer:

36 (Option C: 36)