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

Answer:

a) 2436

b)3654

b)3654

Step-by-step explanation:

The total number of attendee is 6090

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

a) $Number\:of\:males=\frac{Ratio\:of\:males}{Total\:ratio}*Total\:attendee$

$Number\:of\:males=\frac{2}{2+3}*6090$

$Number\:of\:males=\frac{2}{5}*6090=2436$

b)$Number\:of\:females=\frac{Ratio\:of\:females}{Total\:ratio}*Total\:attendee$

$Number\:of\:females=\frac{3}{2+3}*6090$

$Number\:of\:females=\frac{3}{5}*6090=3654$

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:

$\frac{x}{6090}=\frac{3}{5}$

$\implies 5x=3*6090$

$x=\frac{3*6090}{5}$

$x=3654$