Answers

2016-05-30T18:18:36+08:00
Given: total number of students = 200 total number of students taking Natural math = 108 total number of students taking Managesial math = 115 total number of students taking neither = 54 Required: number of students taking both math subjects number of students taking either but not both Solution: let x be the number of students taking both let y be the number of students taking nat. math let z be the number of students taking man. math y = (total n of students - n of students taking nat. math) - n of students taking neithe y = (200 - 108) - 54 y = 31 z = (total n of students - n of students taking man. math) - n of students taking neither z = (200 - 115) - 54 z = 38 x = (108 - y) or x = (115 - z) x = 77
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  • Brainly User
2016-06-03T10:45:02+08:00
Step 1: Taking either and both
     200 - 54 = 146 students

Step 2:  Taking both
     (108 + 115) - 146 = 77 students

Step 3:  Taking either but not both
     A.  Taking Natural Math subject only
           108 - 77 = 31 students
 
     B.  Taking Managerial Math subject only
           115 - 77 = 38  students
 
     C.  Total number of students taking either but not both
           31 + 38 = 69 students

ANSWER:  77 students are taking both subjects, while 69 students are taking neither but not both.

Check:
(Taking neither subject) + (Taking both subjects) + (Taking either but not both subjects) = 200

54 + 77 + 69 = 200

200 = 200 (True)

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