Question
Download Solution PDFThe average weight of the class is 60 kg and the average weight of boys in the class is 80 kg. The ratio of boys to girls in the class is 5 : 4 If there are 72 students in the class. Find the average weight of girls
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe average weight of the class = 60 kg
The average weight of boys in the class = 80 kg
The ratio of boys to girls in the class is 5 : 4
The number of students in the class = 72
The number of girls = 4/9 × 72
⇒ 32
The number of boys = 5/9 × 72
⇒ 40
Total weight of students in the class = 72 × 60
⇒ 4320
The total weight of boy in class = 40 × 80
⇒ 3200
The total weight of girls = total weight - total weight of boys
⇒ 4320 - 3200 = 1120
The average weight of girls = 1120 /32
⇒ 35
∴ The required answer is 35.
Shortcut Trick Using alligation method
B : G
80 x
60
5 4
= 80 - 60 = 20
4 unit = 20
1 unit = 5
5 unit = 25
It means 60 - x = 25
x = 60 - 25 = 35
∴ The required answer is 35.
Last updated on Jun 25, 2025
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