The average marks of a class of 40 students is 62. The average marks of the…
2025
The average marks of a class of 40 students is 62. The average marks of the students who have passed is 74 and the average marks of the students who have failed is 26. The number of students who have failed is:
- A.
20
- B.
18
- C.
16
- D.
10
- E.
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Correct answer: D
To find the number of students who failed, we can use the concept of weighted averages or an algebraic approach.
Step-by-Step Analysis
Understand the Data:
Total students = 40
Average marks of total students = 62
Total marks of the class = 40 * 62 = 2,480
Average marks of passed students = 74
Average marks of failed students = 26
Formulate the Equation:
Let the number of failed students be F.
Then, the number of passed students = (40 - F).
Total marks = (Marks of passed students) + (Marks of failed students)
2,480 = 74 * (40 - F) + 26 * F
2,480 = 2,960 - 74F + 26F
2,480 = 2,960 - 48F
48F = 2,960 - 2,480
48F = 480
F = 10