The average mark of the students of a class in a particular exam is 80.

General Calculator / Auto Solver

The average mark of the students of a class in a particular exam is . If students whose average mark in that exam is are excluded, the average mark of the remaining will be . Find the number of students who wrote the exam.

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Calculated Answer

30

Step by Step Solution

In order to solve problem, you must evaluate (n₁ * n₃ - n₁ * n₂) / (n₃ - n₀).

• (n₁ * n₃ - n₁ * n₂) / (n₃ - n₀)

• Evaluate n₁ * n₃ = 460

  (460 - n₁ * n₂) / (n₃ - n₀)

• Evaluate n₁ * n₂ = 100

  (460 - 100) / (n₃ - n₀)

• Evaluate 460 - 100 = 360

  360 / (n₃ - n₀)

• Evaluate n₃ - n₀ = 12

  360 / 12

• Evaluate 360 / 12 = 30

  30
• The answer to the problem and the result of (n₁ * n₃ - n₁ * n₂) / (n₃ - n₀) is 30