Question

The ratio of the number of female participants to the
number of male participants at a party is 4: 9. If there
are 30 more male participants than female participants,
calculate the total number of people who attended
the party

Answer 1

Answer:

Ratio of Female : Male = 4 : 9

There are 30 more males than females so there are 24 females and 54 males.

Total no. of people that attended the party = 24 + 54 = 78

Answer 2

Given:

The ratio of the number of females to the males = 4:9

The difference between the number of males and females = 30

To Find:

The total number of people attended the party.

Solution:

Let the number of males at the party = x

Let the number of females at the party = y

The difference between the number of males and females = 30

Also, we can write the above value as an equation

⇒ x - y = 30

And, from the ratio we get

⇒ 9y = 4x

Now substituting the value of "x".

⇒ $\frac{9y}{4} - y = 30$ ⇒ y = 24 females

And, number of males (x) = 54

So, the total number of people at the party = x + y = 78

Hence, the total number of people at the party is 78.