Question

The number of boys and girls in a class are in the ratio 4:3. If total class strength is 49 then, how many are number of boys in the class?​

Answer 1

Answer:

4x+3x=49

7x=49

x=49/7

x=7

4x=7x4=28

3x=7x3=21

Answer 2

Answer

• Number of boys = 28.
• Number of girls = 21.

Given

• Total strength of the class = 49 students.
• Ratio between boys and girls in the class = 4 : 3.

To Do

• To find the number of boys and girls in the class.

Step By Step Explanation

Assumption :

Let us assume the number of boys be 4x and the number of girls be 3x.

Equation :

We know that the total number of students will be equal to the sum of number of boys and girls. So equation will be ⤵

$\red\dag {\green{\underline {\boxed{ \bf{ 4x + 3x= 49}}}}}$

Solution of Equation :

$: \longmapsto \tt4x + 3x = 49 \\ \\: \longmapsto \tt 7x = 49 \\ \\: \longmapsto \tt x = \cfrac{ \cancel{49}}{ \cancel{7}} \\ \\ : \longmapsto \bf \purple{x = 7}$

Therefore, number of boys = 4x => 28 and number of girls = 3x => 21.

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