SOLUTION: In an examination it is required to get 45% marks to pass. A student got 138 marks and failed by 15% of the total marks. What were the maximum marks? I know ans is 460 but plz

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In an examination it is required to get 45% marks to pass. A student got 138 marks and failed by 15% of the total marks. What were the maximum marks? I know ans is 460 but plz      Log On


   

Question 296195: In an examination it is required to get 45% marks to pass. A student got 138 marks
and failed by 15% of the total marks. What were the maximum marks?
I know ans is 460 but plz help me
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
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.