Question

10. There are 24 boys in a class. The average weight of boys is numerically equal to the number
of girls. Total weight of girls is 90 kg less than that of boys. The average weight of the class
is 25 kg. How many girls are there in the class?
1) 25
2) 30
3) 32
4) 36
5) 40​

Answer 1

Answer:

30 girls

OPTION 2

Explanation:

Let the number of girls be x

Total boys = 24

average weight of boys = no. of girls

(total weight of boys)/24 = x

total weight of boys = 24x --------------------------------------------(1)

total weight of girls = total weight of boys - 90

total weight of girls = 24x - 90    [From (1)]  --------------------------(2)

average weight of class = 25

(total weight of boys + total weight of girls)/24+x = 25  [From (1) and (2)]

[24x+24x-90]/24+x = 25

(48x-90)/24+x = 25

48x-90 = 25(24+x)

48x-90 = 600+25x

23x = 690

x = 690/23

x = 30

Therefore there are 30 girls in the class.

OPTION 2

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