Edward C. answered 02/26/15
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Caltech Grad for math tutoring: Algebra through Calculus
Let C = number who clean
Let T = number who tutor
145 members ==> C + T = 145
20 more clean than tutor ==> C = T + 20
These are the 2 equations. Unfortunately they do not have positive integer solutions, which you can see by substituting the value for C from the 2nd equation in to the 1st equation
(T+20) + T = 145
2T = 125
T = 62.5
So C = 62.5 + 20 = 82.5
So 82.5 members clean and 62.5 tutor. You can check that these numbers satisfy the constraints of the problem. But it doesn't make sense to have half a member, unless someone spent half their time cleaning and half tutoring.