College T has 1000 students. Of the 210 students majoring in one or more of the sciences,135 are majoring in Chemistry and 155 are majoring in Biology. If at least 30 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) 110 to 135
B) 110 to 130
C) 130
D) 110
E) 105
Total = Chemistry + Biology - Both + Neither   210 = 135 + 155 - Both + N   We know that N (Neither) must be at least 30, so set N=30 and solve:   210 = 135 + 155 - Both + 30   210 = 320 - 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 135, because even if every chemistry major was also a biology major, there are only 135 chemistry majors total. 110 to 135 the solution.
<result>A</result>
College T has 1000 students. Of the 210 students majoring in one or more of the sciences,135 are majoring in Chemistry and 155 are majoring in Biology. If at least 30 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?