The ratio of boys and girls in the school is 5 : 6. If 24 new boys are

1.	The ratio of boys and girls in the school is 5 : 6. If 24 new boys are joined the school then the ratio of boys and girls becomes 9 : 10. Find the number of girls in the school?1. 1802. 2003. 3204. 3605. 370
Answer» Correct Answer - Option 4 : 360 Given: The ratio of boys and girls in the school is 5 : 6. After joining 24 new boys, the the ratio of boys and girls becomes 9 : 10. Calculation: Let the number of boys in the school be 5x. Then the number of girls in the school is 6x. After joining 24 new boys, the number of boys = 5x + 24 According to the question; The new ratio of boys and girls = 9 : 10. ⇒ (5x + 24)/6x = 9/10 ⇒ 50x + 240 = 54x ⇒ 4x = 240 ⇒ x = 60 Then, the number of girls = 60 × 6 = 360 ∴ The number of girls in the school is 360.

The ratio of boys and girls in the school is 5 : 6. If 24 new boys are joined the school then the ratio of boys and girls becomes 9 : 10. Find the number of girls in the school?1. 1802. 2003. 3204. 3605. 370

Answer» Correct Answer - Option 4 : 360

Given:

The ratio of boys and girls in the school is 5 : 6.

After joining 24 new boys, the the ratio of boys and girls becomes 9 : 10.

Calculation:

Let the number of boys in the school be 5x.

Then the number of girls in the school is 6x.

After joining 24 new boys, the number of boys = 5x + 24

According to the question;

The new ratio of boys and girls = 9 : 10.

⇒ (5x + 24)/6x = 9/10

⇒ 50x + 240 = 54x

⇒ 4x = 240

⇒ x = 60

Then, the number of girls = 60 × 6 = 360

∴ The number of girls in the school is 360.

Discussion

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