SOLUTION: In a certain examination it is found that the average marks of the pass student is 65 While the average marks of the fail students is 35.If the avarage marks of all the students is

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Question 975660: In a certain examination it is found that the average marks of the pass student is 65 While the average marks of the fail students is 35.If the avarage marks of all the students is 53.What is the pass percent
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Let represent the number of students who pass and let represent the number of students who fail. If the average score of the students who pass is 65, then the total of all scores of students who pass must be . Likewise the total of all scores of students who fail is . Then there are two ways to represent the total of all of the students' scores, either or . Hence:



A little algebra music, Sammy,







Hence there are 3 passing scores for every 2 failure scores, hence there are a multiple of 5 scores and the same multiple of 3 passing scores.



John

My calculator said it, I believe it, that settles it

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