All of the students of Music High School are in the band, the orchestra, or both. 40 percent of the students are in only one group. There are 100 students in the band. If 20 percent of the students are in the band only, how many students are in the orchestra only? Pick: A) 30 B) 25 C) 40 D) 55 E) 35
% of students in one group only = 40%   % of students in both groups = 100 - 40= 
<gadget id="calculator">100 - 40</gadget>
<output>60</output>
60%   % of students in the band only= 20%   Number of students who are in band = 100   60% + 20% = 80% 60  + 20= 
<gadget id="calculator">60  + 20</gadget>
<output>80</output>
80%= 100 Students   Finding total students:   x = (100 x 100)/80   x = 125   Students in orchestra only = 125 - 100= 
<gadget id="calculator">125 - 100</gadget>
<output>25</output>
25   Answer:25
<result>B</result>
All of the students of Music High School are in the band, the orchestra, or both. 40 percent of the students are in only one group. There are 100 students in the band. If 20 percent of the students are in the band only, how many students are in the orchestra only?