Question

There are 50 students in a class of which 40 are boys and remaining are girls. If the average weight of the students of the class is 44 kg and the average weight of girls is 40 kg, find the average weight of the boys.​

Answer 1

Answer:

answer is 45kg

Step-by-step explanation:

total no. of students=50

average weight of total students=44kg

sum of total weight=44×50=2200

no. of girls=10

average weight of girls=40kg

sum of weight=40×10=400

therefore, sum of weight of boys =2200-400=1800

therefore average weight of boys=1800/40=45kg

Answer 2

Given :–

• Total students in a class = 50.
• Number of boys in a class = 40.
• Number of girls in a class = 10.
• Average weight of the students of the class = 44kg.
• Average weight of the girls = 40kg.

To Find :–

• Average weight of the boys.

Solution :–

First, we need to find the total weight of the girls.

Total weight of the girls = number of girls × average weight of the girls

So,

• Number is girls = 10
• Average weight of the girls = 40kg

⟹ 10 × 40

⟹ 400kg

Now, we need to find the total weight of the students.

Total weight of the students = Total students × average weight of the students

So,

• Total students = 50
• Average weight of the students = 44kg

⟹ 50 × 44

⟹ 2200kg

Now, we need to find the total weight of the boys.

Total weight of the boys = total weight of students – total weight of the girls

• Total weight of students = 2200kg
• Total weight of the girls = 400kg

⟹ 2200kg – 400kg

⟹ 1800kg

Now, we have to find the average weight of the boys.

So,

Average weight of the boys $= \dfrac{Total \: weight \: of \: the \: boys}{Number \: of \: boys \: in \: a \: class}$

So,

• Total weight of the boys = 1800kg
• Number of boys in a class = 40

⟹ $\dfrac{180 \cancel0}{4 \cancel0}$

⟹ $\dfrac{ \cancel{180}}{ \cancel4}$

⟹ $\dfrac{ \cancel{90}}{ \cancel2}$

⟹ 45kg

Hence,

The average weight of the boys is 45kg