Question

In a school of 685 students, there are 385 students involved in sports teams, and there are 450

Answer 1

Answer:  a) see image (below)

                b) S ∩ M = 237

                c) S U M = 598

Step-by-step explanation:

b) Total students = 685

   Not sports or music = 87

   Sports Total = 385

   Music Total = 450

Both Sports and Music is their intersection:

S ∩ M = S + M + N -  T

          = 385 + 450 + 87 - 685

          = 237

c) Sports only = S - (S ∩ M)

                       = 385 - 237

                       = 148

Music only = M - (S ∩ M)

                  = 450 - 237

                  = 213

Sports OR Music is their union:

S U M = S + M - (S ∩ M)

          = 385 + 450 - 237

          = 598