Question

There is a concert that has been attended by 6,090 fans. The ratio of males to females at the concert is 2:3.

a. How many males are at the concert.
b. How many females are at the concert.
c. The stadium predicted that they would need 3 sodas for every 5 people in attendance. If the fans purchased soda at this rate, how many sodas were sold?

Answer 1

a) 2436

b)3654

b)3654

Explanation:

The total number of attendee is 6090

The ratio of males to females at the concert is 2:3.

a)
`Number\:of\:males=(Ratio\:of\:males)/(Total\:ratio)*Total\:attendee`

`Number\:of\:males=(2)/(2+3)*6090`

`Number\:of\:males=(2)/(5)*6090=2436`

b)
`Number\:of\:females=(Ratio\:of\:females)/(Total\:ratio)*Total\:attendee`

`Number\:of\:females=(3)/(2+3)*6090`

`Number\:of\:females=(3)/(5)*6090=3654`

c) If 3 sodas for every 5 people in attendance, then x-sodas will be sold to 6090 fans.

The simplified ratio of sodas sold to the people in attendance should be 3:5.

That is:

`(x)/(6090)=(3)/(5)`

`\implies 5x=3*6090`

`x=(3*6090)/(5)`

`x=3654`