College T has 1000 students. Of the 180 students majoring in one or more of the sciences,120 are majoring in Chemistry and 120 are majoring in Biology. If at least 20 of the students are not majoring in either Chemistry or Biology, then the number of students majoring in both Chemistry and Biology could be any number from?
Choose the correct choice from the following answers.
A) 50 to 120
B) 60 to 130
C) 50 to 100
D) 70 to 110
E) 60 to 120
Total = Chemistry + Biology - Both + Neither   180= 120 + 120 - Both + N   We know that N (Neither) must be at least 20, so set N=20 and solve:   180 = 120 + 120 - Both + 20   200 = 260 - Both   Both = 60   Even if you're not sure whether 60 is the highest or lowest Both could possibly be, it doesn't matter, because you know it's a boundary point of the range,   Both can not be greater than 120, because even if every chemistry major was also a biology major, there are only 120 chemistry majors total. 60 to 120 the solution.
<result>E</result>
College T has 1000 students. Of the 180 students majoring in one or more of the sciences,120 are majoring in Chemistry and 120 are majoring in Biology. If at least 20 of the students are not majoring in either Chemistry or Biology, then the number of students majoring in both Chemistry and Biology could be any number from?