Question

the number of boys and girls in a class are in the ratio 7:5. the number of boys is 8 more than the number of girls. what is the total class strength?​

Answer 1

$\huge \underline{\sf{\color{deeppink}{Given:}}}$

• The number of boys and girls in a class are in the ratio 7:5.
• the number of boys is 8 more than the number of girls

$\huge \underline{\sf{\color{deeppink}{To \: Find:}}}$

• The total class Strength

$\huge \underline{\sf{\color{deeppink}{Solution:}}}$

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Let, the number of boys be 7x and girls be 5x.

According to the question:

→ 7x = 5x + 8

$\red{\longrightarrow }$7x – 5x = 8

$\red{\longrightarrow }$2x = 8

$\red{\longrightarrow }$x = 8/2

$\purple{\longrightarrow }$x = 4

Therefore, Number of boys = 7×4 = 28

$\blue{ \leadsto}$And, Number of girls = 5×4 = 20

$\blue{ \leadsto}$Total number of students = 20+28 = 48

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$\sf{ \red{\small{hope \: it \: helps! \: \green{:) }} }}$