All of the students of Music High School are in the band, the orchestra, or both. 60 percent of the students are in only one group. There are 106 students in the band. If 10 percent of the students are in the band only, how many students are in the orchestra only?	Choose the correct choice from the following answers.
A) 120	B) 110	C) 116	D) 106	E) 112
% of students in one group only = 60%   % of students in both groups = 100 - 60= 
<gadget id="calculator">100 - 60</gadget>
<output>40</output>
40%   % of students in the band only= 10%   Number of students who are in band = 106   40% + 10% = 50% 40  + 10= 
<gadget id="calculator">40  + 10</gadget>
<output>50</output>
50%= 106 Students   Finding total students:   x = (106 x 100)/50   x = 212   Students in orchestra only = 212 - 106= 
<gadget id="calculator">212 - 106</gadget>
<output>106</output>
106   Answer:106
<result>D</result>
All of the students of Music High School are in the band, the orchestra, or both. 60 percent of the students are in only one group. There are 106 students in the band. If 10 percent of the students are in the band only, how many students are in the orchestra only?