54 Views

Question : In a class of 60 students, there are 35 boys. The average weight of boys is 42 kg and the average weight of the full class is 46.5 kg. Find the average weight of girls in the class.

Option 1: 48.7 kg

Option 2: 49.7 kg

Option 3: 52.8 kg

Option 4: 56.7 kg


Team Careers360 14th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 52.8 kg


Solution : Let the average weight of girls in the class be $x$
Given the average weight of boys = 42 kg
Number of boys = 35
The average weight of the class = 46.5 kg
Total number of students = 60
So, the number of Girls = 60 – 35 = 25
The sum of weight of boys = Average weight of boys × Number of boys
The sum of weight of girls = Average weight of girls × Number of girls
The average weight of class = $\frac{\text{Sum of the weight of boys and girls}}{\text{Total number of students}}$
$\therefore$ $46.5=\frac{35\times 42 + x\times 25}{60}$
⇒ $2790=1470+25x$
⇒ $x=\frac{1320}{25}$
$\therefore x=52.8$
Hence, the correct answer is 52.8 kg.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books