All of the students of Music High School are in the band, the orchestra, or both. 70 percent of the students are in only one group. There are 111 students in the band. If 30 percent of the students are in the band only, how many students are in the orchestra only?
Pick one.
A) 84  B) 69  C) 78  D) 81  E) 74
% of students in one group only = 70%   % of students in both groups = 100 - 70= 
<gadget id="calculator">100 - 70</gadget>
<output>30</output>
30%   % of students in the band only= 30%   Number of students who are in band = 111   30% + 30% = 60% 30  + 30= 
<gadget id="calculator">30  + 30</gadget>
<output>60</output>
60%= 111 Students   Finding total students:   x = (111 x 100)/60   x = 185   Students in orchestra only = 185 - 111= 
<gadget id="calculator">185 - 111</gadget>
<output>74</output>
74   Answer:74
<result>E</result>
All of the students of Music High School are in the band, the orchestra, or both. 70 percent of the students are in only one group. There are 111 students in the band. If 30 percent of the students are in the band only, how many students are in the orchestra only?