8% of the people eligible to vote are between 18
and 21 years of age. In an election 85% of those
eligible to vote, who were between 18 and 21,
actually voted. In that election, the number of
persons between 18 and 21, who actually voted,
was what percent of those eligible to vote?
1)42
2)6.4
3) 6.8
4)8
5) None of these
Answers
Answer:
6.8
Step-by-step explanation:
let, no. of people eligible to vote = x
then according to given data,
no. of persons b/w 18 and 21 who actually voted = x * (8 /100) * (85 /100)
= 17x / 250
=> % = {(17x / 250) / x } * 100
= 6.8%
Step-by-step explanation:
Complete step-by-step answer:
Let the number of people eligible to vote be x.
It is given that 8%
of people eligible to vote are between 18 and 21 years of age.
Therefore, we get
Number of people eligible to vote (between 18 and 21 years) =8%ofx
Simplifying the expression, we get
Number of people eligible to vote (between 18 and 21 years) =8100×x=8x100
It is also given that 85%
of those eligible to vote, who were between 18 and 21 years, actually voted.
This means that 85%
of 8x100
people actually voted.
Therefore, we get
Number of people eligible to vote (between 18 and 21 years) who actually voted =85%of8x100
Simplifying the expression, we get
Number of people eligible to vote (between 18 and 21 years) who actually voted =85100×8x100=680x10000
Now, we will find the number of persons between 18 and 21, who actually voted as a percentage of the total number of people eligible to vote.
First, we will represent the number of persons between 18 and 21, who actually voted as a fraction of the total number of people eligible to vote.
Therefore, we get the fraction
⇒ 680x10000x=68010000
A fraction can be converted into a percentage by multiplying the fraction by 100.
Therefore, we can find the number of persons between 18 and 21, who actually voted as a percentage of the total number of people eligible to vote as
⇒ 68010000×100=680100=6.8%