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.


with steps​

Answer 1

Answer:

Let b the number of boys and g the number of girl, then

b

g

=

3

4

and

b

−

6

g

=

5

8

So you can solve the system:

b

=

3

4

g

and

g

=

8

b

−

6

5

Let substitute in b in the second equation its value

3

4

g

and you will have:

g

=

8

3

4

g

−

6

5

5

g

=

6

g

−

48

g

=

48

and

b

=

3

4

⋅

48

=

36

Answer 2

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.