An instructor has graded 23 exam papers submitted by students in a class of 24 students, and the average so far is 73. (The maximum possible score is 100.) How high would the score on the last paper have to be to raise the class average by 1 point?

Answer 1

Let the score be S.
The current total score is
73*23.
The required total score is
74*24
The required score of the last paper is therefore
74*24-73*23
=?

Answer 2

97 However my solution of the problem went a different way than
MathMate. The 24th student would have a base score of 73 and add 24 to it (to raise the average score of all students by 1) would give 97 as the answer.