The total number of patients who had allergies or ear infections, but not both are 24 and this can be determined by using the Venn diagram.
Given :
The Venn diagram shows the number of patients seen at a pediatrician’s office in one week for colds, C, ear infections, E, and allergies, A.
The following steps can be used in order to determine the total number of patients who had allergies or ear infections, but not both:
Step 1 - According to the Venn diagram, the total number of patients who have ear infections but do not have allergies is 9.
Step 2 - According to the Venn diagram, the total number of patients who have allergies but do not have ear infections is 15.
Step 3 - So, the total number of patients who had allergies or ear infections, but not both are:
= 15 + 9
= 24
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