The average marks obtained by 45 student in an examination is 12 . If the average marks of passed out student are 14 and that of failed student are 5 then find the number of student that passed the examination
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Step-by-step explanation:
Average marks = Total marks/No of students
12 = Total marks / 45
Total marks = 540
Let passed student = P and failed student be F
Average marks of Passed = No of marks/P
No of marks of passed = 14P
Similarly, No of marks of failed = 5F
14P+5F = 540 ---(1)
P+F = 45 ---(2) × 5
5P + 5F = 225 ---(3)
Subtracting eq (3) from (1)
14P+5F = 540
-5P-5F = -225
9P = 315
P = 35
Putting P in eq (2)
F = 45-P
F = 10
No of students passed = 35
No of students failed = 10
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Answer:
passed 35
failed 10
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