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In a class of 80 students, 60% are girls and the rest are boys. The average weight of boys is 5% more than that of girls. If the average weight of all the students is 51 kg, then what is the average weight (in kg) of the girls?

A52.5

B55

C47.5

D50

Answer:

D. 50

Read Explanation:

Total number of students = 80 The average weight of all the students = 51 kg 60% are girls and the rest are boys Number of boys = 80 × (40/100) = 32 Number of girls = 80 - 32 = 48 Let the average weight of the girls = A Average weight of the boys = A × 105/100 = 1.05A Sum of weight of students = 80 × 51 = 4080 kg Sum of weights = 48A + 32 × 1.05A = 81.6A 81.6A= 4080 A = 50


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