A class is divided into two sections A and B. Passing

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A class is divided into two sections A and B. Passing average of 20 students of section A is 80% and passing average of 30 students of sections B is 70%. What is the passing average of both the sections ?

Here n₁ = 20, n₂ = 30, a₁ = 80%, a₂ = 70%
∴ Total average = (n₁a₁ + n₂a₂) / (n₁ + n₂)
= (20 x 80 + 30 x 70) / (20 + 30)
= (1600 + 2100) / 50
= 74%