Solve the problem.
-In a survey of 53 hospital patients, 19 said they were satisfied with the nursing care, 25 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) 15; 19
B) 15; 25
C) 13; 19
D) 21; 25

Question

Quizplus · Accepted Answer

To find the number of patients satisfied with neither, we use the principle of inclusion-exclusion. Total satisfied = satisfied with nursing care + satisfied with medical treatment - satisfied with both. So, 19 + 25 - 6 = 38. Therefore, 53 - 38 = 15 were satisfied with neither. For those satisfied with only medical treatment, subtract those satisfied with both from the total satisfied with medical treatment: 25 - 6 = 19.

Solve the Problem. -In a Survey of 53 Hospital Patients, 19 Said They