Solve the problem.
-In a survey of 55 hospital patients, 24 said they were satisfied with the nursing care, 26 said they were satisfied with the medical treatment, and 6 said they were satisfied with both. How many patients were satisfied with
Neither? How many were satisfied with only the medical treatment?
A) 11; 26
B) 17; 26
C) 18; 20
D) 11; 20

Question

Quizplus · Accepted Answer

Using the principle of inclusion-exclusion, we find the number of patients satisfied with at least one of the two services: 24 (nursing care) + 26 (medical treatment) - 6 (both) = 44. Therefore, 55 - 44 = 11 were satisfied with neither. For those satisfied with only medical treatment: 26 (total satisfied with medical treatment) - 6 (satisfied with both) = 20.

Solve the Problem. -In a Survey of 55 Hospital Patients, 24 Said They