All of the students of the Music High School are in the band, the orchestra, or both. 80 percent of the students are in only one group. There are 98 students in the band. If 50 percent of the students are in the band only, how many students are in the orchestra only?  Choose the correct choice from the following options:
A) 36
B) 39
C) 42
D) 45
E) 48
50% of students are in the band only, so 30% of students are in the orchestra only.   Since 20% of students are in both, then 70% of students are in the band which is 98 students.   The number of students in the orchestra is  (30/70)*98= 
<gadget id="calculator"> (30/70)*98</gadget>
<output>42</output>
42.   The answer is 42.
<result>C</result>
All of the students of the Music High School are in the band, the orchestra, or both. 80 percent of the students are in only one group. There are 98 students in the band. If 50 percent of the students are in the band only, how many students are in the orchestra only?