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:a) 2436b)3654b)3654Step-by-step explanation:The total number of attendee is 6090The ratio of males to females at the concert is 2:3. a) [tex]Number\:of\:males=\frac{Ratio\:of\:males}{Total\:ratio}*Total\:attendee[/tex][tex]Number\:of\:males=\frac{2}{2+3}*6090[/tex][tex]Number\:of\:males=\frac{2}{5}*6090=2436[/tex]b)[tex]Number\:of\:females=\frac{Ratio\:of\:females}{Total\:ratio}*Total\:attendee[/tex][tex]Number\:of\:females=\frac{3}{2+3}*6090[/tex][tex]Number\:of\:females=\frac{3}{5}*6090=3654[/tex]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:[tex]\frac{x}{6090}=\frac{3}{5}[/tex][tex]\implies 5x=3*6090[/tex][tex]x=\frac{3*6090}{5}[/tex][tex]x=3654[/tex]