There are 100 students in 3 sections A, B and C of a class. The average marks of
all the 3 sections was 84. The average of B and C was 87.5 and the average
marks of A is 70. The number of students in A was:
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Answer:
20 is the answer
Step-by-step explanation:
Numbers of students in section A = x
∴ Numbers of students in section B and C = (100 – x)
∴ x \times 70 + (100 – x) \times 87.5 = 84 \times 100
=> 70x + 87.5 \times 100 – 87.5x = 8400
=> 8750 – 17.5x = 8400
=> 17.5x = 8750 – 8400
=> x = \frac{350}{17.5} = 20
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