Question

The numbers of boys and girls in a class are in the ratio 4 : 9. The number of girls is 20 more than the number of boys. What is the total strength of the class? Please answer fast....

Answer 1

Answer :-

Given :-

• Ratio of boys to girls = 4 : 9
• Number of girls = Number of boys + 20

To Find :-

• Total strength of class

Solution :-

Let the number of boys be 4x and girls be 9x.

According to the question -

→ 9x = 4x + 20

→ 9x - 4x = 20

→ 5x = 20

→ x = 20 / 5

→ x = 4

Hence,

• Number of boys = 4x = 4 × 4 = 16
• Number of girls = 9x = 4 × 9 = 36

Total strength of class = Number of boys + Number of girls

= 16 + 36

= 52

Total strength of class = 52 students

Answer 2

✬ The total strength of the class is 52✬

Step-by-step explanation:

Given: The number of boys and girls in the ratio 4:9 and the number of girls is 20 more than the number of boys.

To find: The total strength of the class.

Here,

• Let the number of boys and girls be x.

Then,

$:\implies\sf{9x=20+4x}\\ \\ :\implies\sf{9x - 4x = 20}\\ \\ :\implies\sf{5x =20}\\ \\ :\implies\sf{x = \cancel{\frac{20}{5}}}\\ \\ :\implies\underline{\boxed{\frak{x=4}}}\;\red{\bigstar}$

Therefore,

• Number of girls = 4x = 4 × 4 = 16
• Number of boys = 9x = 9 × 4 = 36

Hence,

• The total strength of class = 16 + 36 = 52.