College T has 1000 students. Of the 260 students majoring in one or more of the sciences,160 are majoring in Chemistry and 120 are majoring in Biology. If at least 50 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 one:	A) 60 to 110	B) 70 to 130	C) 80 to 130	D) 70 to 120	E) 80 to 120
Total = Chemistry + Biology - Both + Neither   260 = 160 + 120 - Both + N   We know that N (Neither) must be at least 30, so set N=30 and solve:   260 = 160 + 120 - Both + 50   260 = 330 - Both   Both = 70   Even if you're not sure whether 70 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 biology major was also a chemistry major, there are only 120 biology majors total. 70 to 120 the solution.
<result>D</result>
College T has 1000 students. Of the 260 students majoring in one or more of the sciences,160 are majoring in Chemistry and 120 are majoring in Biology. If at least 50 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?