Answer:
The number of people vote for blue is 180.
Step-by-step explanation:
Let there are x numbers of total people.
So, [tex]\frac{5}{8}[/tex] of total people vote for blue i.e. [tex]\frac{5x}{8}[/tex] people vote for blue.
Now, the remaining number of people are [tex](x - \frac{5x}{8}) = \frac{3x}{8}[/tex].
If [tex]\frac{5}{9}[/tex] of the remaining people vote for green, then the number of people vote for green will be [tex](\frac{3x}{8} \times \frac{5}{9}) = \frac{5x}{24}[/tex].
Therefore, finally the remaining number of people is [tex](\frac{3x}{8} - \frac{5x}{24}) = \frac{x}{6}[/tex] and they vote for red.
Now, [tex]\frac{x}{6} = 48[/tex] {Given}
⇒ x = 288
And the number of people vote for blue is [tex]\frac{5x}{8} = \frac{5 \times 288}{8} = 180[/tex]. (Answer)
