Fractions Percentages Problem

Hi,

Given that

A:

Western Australia is 9% of Australias total pop of 17.5 million,

and

B:

City Perth has 6% of Australias total pop of 17.5 million,

and

C :

42% of Australias total pop of 17.5 million live in cities less than 1 mill/rural

And if Perth is the only city with over 1 mill in Western Australia,

Question:

What % percent of the Aussies who live in cities less than 1 mill/rural live in Western Australia??

The answer could be: 3 % ,7 % ,10 % ,14 % , or 28%)

Please let me know what the "right" way to do this is.

My ideas:

(Pop West Aust) - (Pop Perth) to get the amount of the people in W.A. who live in cities less than 1 mill/rural.

worked out:

D:

(9/100) * 17.5 mill - (6/100) * 17.5 mill = 3/100* 17.5 mill

Then, if we are looking for how many (%)of the Aussies who live in cities less than1 mill/rural (52% total) live in W.A.

would we take

D/C that is, (people in W.A who live in cities<1 mill/rural) divided by (Australias total pop of people in cities<1 mill/rural)

or

just take D/17.5 mill ? I think this latter would actually be the % of total Aussie population who live in WA (minus Perth), not the % of the Aussies who live in cities<1 mill/rural

So I get 7.1%

Tell me if I am wrong....

thanx folks!

Clarification? trying to understand

Quote:

Originally Posted by

**ticbol** Let me re-do my reply.

"42% of Australias total pop of 17.5 million live in cities less than 1 mill/rural"

"Western Australia is 9% of Australias total pop of 17.5 million,"

"City Perth has 6% of Australias total pop of 17.5 million,"

"And if Perth is the only city with over 1 mill in Western Australia,"

"What % percent of the Aussies who live in cities less than 1 mill/rural live in Western Australia??"

So, the West Australians that are not in Perth are (9% -6%) = 3% of all Australians.

Let x% of all Australians be those Australians in West Australia that live in cities with less than a million/rural.

By proportion,

42% of 100% Australians = x% of 3% Australians

0.42 = 0.03x

x = 0.42 / 0.03 = 14% ----------answer.

I thought that the rest of the Aussies in West Austr. that remain when you subtract Perthians are the population living in cities< 1 mill/rural.

So the 3% would all be living in cities< 1 mill/rural

the question is what % of aussies living in cities< 1 mill/rural live in W.A.

Ideas?