Question

The average marks of 30 boys of section A of class X is 60 whereas the average marks of 30 boys of section B of class X is 50. The average marks for both the sections combined together is ​

Answer 1

Question:-

• The average marks of 30 boys of section A of class X is 60 whereas the average marks of 30 boys of section B of class X is 50. The average marks for both the sections combined together is

To Find:-

• Find the average marks for both the sections combined together.

Solution:-

Given ,

• The average marks of 30 boys of section A of class X is 60.

• The average marks of 30 boys of section B of class X is 50.

First ,

We have to find the total marks of section A:-

$\dashrightarrow\sf \: Average \: marks = \dfrac { Total \: marks } { Total students }$

$\dashrightarrow\sf \: Total \: marks = Average \: marks \times Total \: students$

$\dashrightarrow\sf \: Total \: marks = 60 \times 30$

$\dashrightarrow\sf \: Total \: marks = 1500$

Now ,

We have to find the total marks of section B:-

$\dashrightarrow\sf \: Average \: marks = \dfrac { Total \: marks } { Total students }$

$\dashrightarrow\sf \: Total \: marks = Average \: marks \times Total \: students$

$\dashrightarrow\sf \: Total \: marks = 50 \times 30$

$\dashrightarrow\sf \: Total \: marks = 1300$

Now ,

We have to add the both sections marks:-

$\dashrightarrow\sf \: Total \: marks = 1800 + 1500$

$\dashrightarrow\sf \: Total \: marks = 3300$

Now ,

We have to find total students:-

$\dashrightarrow\sf \: Total \: students = 30 + 30$

$\dashrightarrow\sf \: Total \: students = 60$

Now ,

We have to find the average marks:-

$\dashrightarrow\sf \: Average \: marks = \dfrac { 3300 } { 60 }$

$\dashrightarrow\sf \: Average \: marks = 55$

Hence ,

• Average marks for both sections together is 55.

Answer 2

Given:

• The average marks of 30 boys of section A of class X is 60.
• The average marks of 30 boys of section B of class X is 50.

To Find:

• The average marks for both the sections combined together.

We know that:

• Average marks = Total marks / Total students

In section A of class X:

• Total students = 30
• Average marks = 60

Finding the total marks:

→ 60 = Total marks / 30

→ Total marks = 1800

In section B of class X:

• Total students = 30
• Average marks = 50

Finding the total marks:

→ 50 = Total marks / 30

→ Total marks = 1500

When both the sections combined together:

• Total students = 30 + 30 = 60
• Total marks = 1800 + 1500 = 3300

Finding the average marks:

→ Average marks = 3300/60

→ Average marks = 55

Hence,

• The average marks for both the sections combined together is 55.