Question

5/8 people vote for blue

Answer 1

Answer:

The number of people vote for blue is 180.

Step-by-step explanation:

Let there are x numbers of total people.

So, $\frac{5}{8}$ of total people vote for blue i.e. $\frac{5x}{8}$ people vote for blue.

Now, the remaining number of people are $(x - \frac{5x}{8}) = \frac{3x}{8}$.

If $\frac{5}{9}$ of the remaining people vote for green, then the number of people vote for green will be $(\frac{3x}{8} \times \frac{5}{9}) = \frac{5x}{24}$.

Therefore, finally the remaining number of people is $(\frac{3x}{8} - \frac{5x}{24}) = \frac{x}{6}$ and they vote for red.

Now, $\frac{x}{6} = 48$ {Given}

⇒ x = 288

And the number of people vote for blue is $\frac{5x}{8} = \frac{5 \times 288}{8} = 180$. (Answer)