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Question

# There are 29 students in a class whose average weight is 36 kgs. Among these 29 students, 16 are boys and 13 are girls. The average weight of 16 boys is 6.75 kgs more than the average weight of 13 girls. What is the average weight of girls (in kg)?

A

32.27

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B

33.15

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C

32.85

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D

33.45

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Solution

## The correct option is A 32.27 Total weight of all students = 29 x 36 = 1044 Let average weight of the 13 girls be x kg. Then, the average weight of 16 boys = (x+6.75) Total weight of the 13 girls = 13x Total weight of the 16 boys = 16(x+6.75) ⟹ 13x+16(x+6.75) = 1044 ⟹ x = 32.27 kg ∴ Average weight of girls = 32.27 kg

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