gmatcraze wrote:

All of the students of Music High School are in the band, the orchestra, or both. 80 percent of the students are in only one group. There are 119 students in the band. If 50 percent of the students are in the band only, how many students are in the orchestra only?

30

51

60

85

119

B = Band

O = Orchestra

T = Total

Only Band = 0.5T

Either Band or Orchestra but not both = 0.8T

Hence, Only Orchestra = 0.3T

Also, both is 1 - 0.8T = 0.2T

0.5T + 0.2T = 119

T = 170

Hence, Only Orchestra = 0.3T = 51