Answers

2016-05-31T23:18:36+08:00
  number of students =   200,                          >      108 are taking natural maths
  number of students taking neither  =   54     >   115 are taking management  
                                                                                   maths

 thus   200-54 =   146   ( number of students taking either,  but not both)

  108 +115 = 223  (number of students taking natural maths and
                                       management maths)
  so number of students taking both  =  223 -146 =   77
0
  • Brainly User
2016-06-03T10:37:33+08:00
Step 1: Taking either and both subjects
     200 - 54 = 146 students

Step 2:  Taking both subjects
     (108 + 115) - 146 ⇒ 223 - 46 = 77 students

Step 3: Taking either but not both:
     A.  Taking Natural Math only:
           108 - 77 = 31 students
  
     B.  Taking Managerial Math only:
           115 - 77 = 38 students
 
     C.  Total Number of students taking either but not both:
           31 + 39 = 69 students

ANSWER: 77 are taking both and 69 are taking either but not both.

Check:

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

54 + 77 + 69 = 200
200 = 200  (True)




0