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Source: — Problem Solving |

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by beatthegmat » Tue Sep 04, 2007 9:30 pm
Whenever it's possible, please type out your questions instead of taking a screenshot.

Typed text allows for guests to see the question (they can't see attachments otherwise) and encourages them to participate as well. Also, attachments aren't searchable for future reference.

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by agps » Wed Sep 05, 2007 3:25 am
minimum pop for least populated would be 1 village with exacly 10% less than all the rest.
backsolve.
B) 10.800 + 10% = 11.880
11.880*10+10.800 = 118.800+10.800 = 129.600, not the same total, wrong

D)11.000 + 10% = 12.100
12.100*10+11.000 = 121.000+11.000 = 132.000, same as total, D is the answer

in backsolving there are many strategies, i always try (if the result sets are ordered, which they usually are) first B, if the result is larger than expected A is the answer (always confirm), if the result is less than expected try D, aplly the same reasoning untill you find the answer.
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by ri2007 » Wed Sep 05, 2007 3:18 pm
another method would be to assume the county with the minimum popolation is X

and all other are 10% more than X.

So X + 4( 1.1X) = 132000

so 12X =132000
X = 11000
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by agps » Wed Sep 05, 2007 4:16 pm
"So X + 4( 1.1X) = 132000

so 12X =132000 "
I believe you mean
So X + 10( 1.1X) = 132000
so 12X =132000

good way to solve it by the way. 8)
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by ri2007 » Wed Sep 05, 2007 5:13 pm
yup, it 10 not 4, thanks for correcting that
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