Answer :
1) Write out what you know
Blue: 5/8
Green: 5/9 (of 3/8 because it is the remaining parts) so 5/24
Red: 1 - (5/8 + 5/24) = 1/6
2) Find the total amount of people
You know that 1/6 of the population is 48, so the total population is 288 (48×6)
3) Multiply the total population by the fractions to get the number of votes
Blue: 288 × 5/8 = 180 votes
Green: 288 × 5/24 = 60 votes
Check: 180 + 60 + 48 = 288 votes
Blue: 5/8
Green: 5/9 (of 3/8 because it is the remaining parts) so 5/24
Red: 1 - (5/8 + 5/24) = 1/6
2) Find the total amount of people
You know that 1/6 of the population is 48, so the total population is 288 (48×6)
3) Multiply the total population by the fractions to get the number of votes
Blue: 288 × 5/8 = 180 votes
Green: 288 × 5/24 = 60 votes
Check: 180 + 60 + 48 = 288 votes