Question

In a recent election, 2/3 of the citizens in a town voted. Of those voting, 60% voted in favor of a school bond. What fraction of the citizens voted for the school bond?​

Answer 1

`▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪`

The fraction of citizen who voted in election :

• 
  `(2)/(3)`

now, 60% of them in favor of a school bond, so the fraction of citizens who voted for school bond :

• 
  `60 \% \: \: \: \: of \: \: \: \: (2)/(3)`

• 
  `(60)/(100) * (2)/(3)`

• 
  `(20)/(50)`

• 
  `(2)/(5)`

hence, 2/5 th of the citizens voted for school bond.

almost 40% of the citizens

Answer 2

2/5 of the citizens who voted , 4/15 of all citizens

Explanation:

We have,

2/3 citizens voted

In those who votes, 60% voted in favor of a school bond

Therefore,

People who voted in favor of the school bond= 60% of 2/3

=60/100*2/3=2/5

Therefore, 2/5 of the citizens who voted had voted in favor of the school bond.

For all citizens,

x% of 1 = 2/5 of 2/3

x/100*1=2/5/100*2/3

x=4/15/100*100

x=4/15