THE MEAN WEIGHT OF 60 STUDENTS IN A CLASS IS 40 KG. THE MEAN WEIGHT OF BOYS IS 50 KG WHILE THAT OF GIRLS IS 30 KG. FIND THE NUMBER OF BOYS AND GIRLS IN CLASS
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Answer:
Let x be the number of boys, then the number of girls will be (60−x).
The mean weight of boys is 50 kg, then the total weight of boys will be, 50x.
The mean weight of girls is 30 kg, then the total weight of girls will be 30(60−x)=1800−30x.
The mean weight of 60 students is 40 kg, so
totalno.ofstudents
weightofgirls+weightofboys
=40
60
1800−30x+50x
=40
x=
20
600
x=30
So, the number of boys is 30 and the number of girls is (60−30)=30.
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