Question 117461
In a group of 150 students, more students are taking a math class than are taking a science class this semester. If 80 are taking a science class and 25 are not taking either math or science this semester, what is the minimum number of students who could be taking both math and science this semester?
:
We can subtract the 25 that are taking neither math nor science
:
Total math and/or science: 150 - 25 = 125
:
Total who take math only: 125 - 80 = 45
:
Let x = students taking math & science: 
x + 45 > 80
x > 80 - 45
x > 35
x = 36 is the minimum taking math and science
:
Check:
Math/Science + Math only > 80
36 + 45 = 81