What exactly was your difficulty with this? The table says that 6% of the 18-24 voters turned out to vote in Thundersley.
Hello all
I have another percentages question that I think that you could help me with as it looks fairly basic but I am having trouble understanding the logic behind it.
Q. What percentage of total eligible adults in the 18–24 age category turned out to vote in Thundersley?
a) 3.8% b) 6% c) 9.5% d) 12.8% e) 15%
All the information is below in the table.
Any help would be great.
Cheers!
Well what I did was: in Thundersley, subtract the percentage of voters who did not vote from the total eligible, so 22,397 minus 36% of 22,397 is 14,334.08 voters who actually voted.
Then 18-24 year olds were 6% of the total voters who did vote so the total amount of 18-24 year olds who voted is 6% of the 14,334.08 voters who did vote, which is 860.0448 18-24 year old voters.
So what percent of all eligible voters (including ones who didn't vote) in Thundersley (22,397) were 18-24 year olds who did vote (860.0448 as we found earlier)?
(x% of total possible voters 22,397 = 860.0448 18-24 year old voters)
To avoid confusion, let's introduce some notation. We are talking about Thundersley only in this question. Let be the number of people in the age category ac who voted, and let be the number of eligible voters in the age category ac. For example, is the number of people between 18 and 24 who voted, and is the number of people between 18 and 24 who could have voted (maybe they did, maybe they didn't). Obviously, for each age category ac.
Also, let
be the total number of eligible voters and let
be the total number of people who voted. Then the table provides the following facts:
...
Since we know , we can find for each category ac. However, we can't find for each ac because we don't know how people who didn't vote are distributed over the age categories. One possible scenario is that all eligible voters who did not vote are between 18 and 24. Then of , i.e., people. Another scenario is that all eligible voters who did not vote are between 25 and 34. Then everybody who is eligible between 18 and 24 voted, i.e., of , i.e., people.
As far as I understand the question:it asks to find . I don't think this question is answerable. Indeed, in the first scenario above, , while in the second scenario .
I found the book "How to Pass Numerical Reasoning Tests" by Heidi Smith in Google Books. The answer 3.6% to this question appears on p. 190. It says,
However, this number is and not , for which the original question is asking.The percentage of all voting adults in Thundersley = 64%. 6% of 64% = 0.06 x 64 = 3.8% of eligible adults who voted were aged 18-24.
No, 18-24 year olds were 6% of the total eligible voters.
The answer to this question is given in the table: 6%.
I didn't think the graph clearly stated that, so I guess I read the graph incorrectly. Since all the voters in Thundersley add up to 64% (6% + 12% + 13% + 13% + 16% + 4%), and the people who didn't vote make up the remaining 36%, it would seem like the 6% of the total 100% which include those who didn't vote (6% + 12% + 13% + 13% + 16% + 4% + 36%) were 18-24 year olds.
See my reasoning above