Question

At a banquet the ratio of the number of boys to the number of girls is 5:3. Halfway through the banquet 20 boys leave and the ratio becomes 5:4. How many girls are at the banquet?.​

Answer 1

Answer:

At a banquet the ratio of the number of boys to the number of girls is 5:3. Halfway through the banquet 20 boys leave and the ratio becomes 5:4. How many girls are at the banquet?.

Answer 2

At a banquet the ratio of the number of boys to the number of girls is 5:3.

Halfway through the banquet 20 boys leave and the ratio becomes 5:4.

How many girls are at the banquet.

Let, the numbers of boys be 5x

And, the number of girls be 3x

But in halfway through the banquet 20 boys leave and the ratio becomes 5:4.

By doing cross multiplication we get,

⇒ 4(5x - 20) = 5(3x)

⇒ 20x - 80 = 15x

⇒ 20x - 15x = 80

⇒ 5x = 80

5

80

➠ x = 16

Hence the required number of boys and girls are :

❐ Number of boys = 5x = 5(16) = 80

❐ Number of girls = 3x = 3(16) = 48

\therefore∴ 48 girls are at the banquet.