College T has 1000 students. Of the 250 students majoring in one or more of the sciences,140 are majoring in Chemistry and 170 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?	Answers.
A) 110 to 150
B) 110 to 140
C) 110 to 130
D) 120
E) 130
Total = Chemistry + Biology - Both + Neither   250 = 140 + 170 - Both + N   We know that N (Neither) must be at least 30, so set N=30 and solve:   250 = 140 + 170 - Both + 50   250 = 360 - Both   Both = 110   Even if you're not sure whether 110 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 140, because even if every chemistry major was also a biology major, there are only 140 chemistry majors total. 110 to 140 the solution.
<result>B</result>
College T has 1000 students. Of the 250 students majoring in one or more of the sciences,140 are majoring in Chemistry and 170 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?