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

Answer :-

• Total class strength is 48.

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.

To Find :-

• Total class strength.

Solution :-

Put x in the ratio

• 7x
• 5x

Number of boys = 7x

Number of girls = 5x

→ Number of boys is 8 more than the number of girls.

According to question :-

⇒ 7x = 5x + 8

⇒ 7x - 5x = 8

⇒ 2x = 8

⇒ x = 8/2

⇒ x = 4

• Number of boys = 7x = 7 × 4 = 28
• Number of girls = 5 × 4 = 20

Total class strength = Number of boys + Number of girls

→ 28 + 20

→ 48

Hence, the total class strength is 48.

Answer 2

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:-

• The total strength of class is 48.

To find :-

• Total strength of class

Solution:-

• Ratio of boys and girls = 7:5

Put x in the ratio,

• 7x
• 5x

• Number of boys is 8 more than number of girls.

$\large{: \implies \: 5x + 8 = 7x}$

$\large{: \implies \: 5x - 7x = - 8}$

$\large{: \implies \: - 2x = - 8}$

$\large{: \implies \: x = \frac{ - 8}{ - 2} }$

$\large{: \implies \: x \: = 4}$

• The value of x is 4

_______________________

• NUMBER OF BOYS = 7x = 7×4 = 28
• NUMBER OF GIRLS = 5x = 5×4 = 20

_______________________

Total strength = number of boys + number of girls

$\large{: \implies \: total \: strength = 28 + 20}$

$\large{: \implies \: total \: strength =48}$

The total strength of class is 48.