Question 296195
The student was required to get 45% of the maximum marks to pass.


The student failed by 15% of the maximum marks.


This means that the student got 45% of the maximum marks minus 15% of the maximum marks which equals 30% of the maximum marks.


If we let M equal the maximum marks that the student can get, then the equation would be:


Student got:


.45*M - .15*M = (.45 - .15)*M = .30*M.


Since the student got a score of 138 marks, then our equation becomes:


.30*M = 138


Divide both sides of this equation by .30 to get:


M = 138/.3


Solve for M to get M = 460.