Question

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 patients with only allergies

Patients with only allergies are those in the allergy circle ($A$) not overlapping with ear - infection circle ($E$). That is $15 + 2=17$.

Step2: Identify patients with only ear - infections

Patients with only ear - infections are those in the ear - infection circle ($E$) not overlapping with allergy circle ($A$). That is $9 + 10=19$.

Step3: Sum the two groups

Sum the number of patients with only allergies and only ear - infections: $17+19 = 36$.

Answer:

36