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:

Answer:

Given :-

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.

To Find :-

How many girls are at the banquet.

Solution :-

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.

According to the question,

⇒ $\dfrac{5x - 20}{3x}$ = $\dfrac{5}{4}$

By doing cross multiplication we get,

⇒ 4(5x - 20) = 5(3x)

⇒ 20x - 80 = 15x

⇒ 20x - 15x = 80

⇒ 5x = 80

⇒ x = $\sf\dfrac{\cancel{80}}{\cancel{5}}$

➠ 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.

Answer 2

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