Posted by **Anonymous** on Thursday, February 3, 2011 at 11:52pm.

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?

- Math -
**MathMate**, Friday, February 4, 2011 at 6:39am
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

=?

- Math -
**Raymond**, Sunday, June 12, 2011 at 2:51pm
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.

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