College T has 1000 students. Of the 300 students majoring in one or more of the sciences,150 are majoring in Chemistry and 180 are majoring in Biology. If at least 60 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 options:	A) 110 to 150	B) 60 to 150	C) 30 to 150	D) 60 to 140	E) 70 to 130
Total = Chemistry + Biology - Both + Neither   300 = 150 + 180 - Both + N   We know that N (Neither) must be at least 30, so set N=30 and solve:   300 = 150 + 180 - Both + 60   300 = 330 - Both   Both = 30   Even if you're not sure whether 150 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 150, because even if every chemistry major was also a biology major, there are only 130 chemistry majors total. 30 to 150 the solution.
<result>C</result>
College T has 1000 students. Of the 300 students majoring in one or more of the sciences,150 are majoring in Chemistry and 180 are majoring in Biology. If at least 60 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?