In a class, the average weight of 40 boys is 65 kg and that of 50 girls is 60 kg. After a few days, 40% of the girls and 50% of the boys leave. What would be the new average weight of the class (in kg)? Assume that the average weight of the boys and ?->(Show Answer!)

1. In a class, the average weight of 40 boys is 65 kg and that of 50 girls is 60 kg. After a few days, 40% of the girls and 50% of the boys leave. What would be the new average weight of the class (in kg)? Assume that the average weight of the boys and the girls remains constant throughout.

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By: anil on 05 May 2019 01.37 am

Initially, number of boys = 40 and number of girls = 50 Average weight of boys = 65 kg and average weight of girls = 60 kg Now, 40% of the girls and 50% of the boys leave => Boys left = $$frac{100 - 50}{100} imes 40 = 20$$ Girls left = $$frac{100 - 40}{100} imes 50 = 30$$ Since, average weight of the boys and the girls remains constant throughout $$ herefore$$ New average weight of the class = $$frac{(20 imes 65) + (30 imes 60)}{20 + 30} = frac{1300 + 1800}{50}$$ = $$frac{3100}{50} = 62$$ kg

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