SOLUTION: 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

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?
Is it 81? I was trying to take an example from the book and I don't know if my equation is correct
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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
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