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Question

The mean weight of 150 students in a certain class is 60 kilograms. The mean weight of boys in the class is 70 kilograms and that of the girls is 55 kilograms, then the number of boys and girls are

A
100,50
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B
50,100
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C
75,75
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D
60,90
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Solution

The correct option is A 100,50
Total students in class =150

mean weight=60kg

total weight =150×60=9000kg

Let the total number of boys =x

mean weight of boys =70kg

total weight of boys =70×x=70xkg

total number of girls = total students - no. of boys =150x

mean weight of girls=55kg

total weight of girls =55×(150x)=55×15055x=(825055x)kg

Total weight = weight of boys + weight of girls

9000=70x+(825055x)

9000=70x+825055x

90008250=70x55x

750=15x

x=75015

x=50

So number of boys =50

number of girls =15050=100

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