Algebra

Question 1:

124 to 138 is the increase, which means the increase is of 14 billion gallons. This increased volume to 82% of max.

That means 138 billion gallons = 82% of maximum volume

MAx volume = 138 / 82% = 138 * 100 / 82 = 168.3

Therefore volume that the reservoir was short of the full capacity before storm is 168.3 - initial value = 124

So 44.3 billion gallons or approx 44.

Question 2:

Atleast 2/3 must vote FOR. That means amount who vote against cannot be 1/3 or more. 1/3 is 13.33 so this means maximum number of people who can vote against it 13. If 14 vote, then this becomes 14/40 = 7/ 20 which is greater than 1/3 and hence means the resolution will fail.

albatross86 wrote:Question 1:

124 to 138 is the increase, which means the increase is of 14 billion gallons. This increased volume to 82% of max.

That means 138 billion gallons = 82% of maximum volume

MAx volume = 138 / 82% = 138 * 100 / 82 = 168.3

Therefore volume that the reservoir was short of the full capacity before storm is 168.3 - initial value = 124

So 44.3 billion gallons or approx 44.

Question 2:

Atleast 2/3 must vote FOR. That means amount who vote against cannot be 1/3 or more. 1/3 is 13.33 so this means maximum number of people who can vote against it 13. If 14 vote, then this becomes 14/40 = 7/ 20 which is greater than 1/3 and hence means the resolution will fail.

Thanks for the clarification and help. But on

Question 1: can you please explain why you multiplied by 100?


Question 2: Can you please explain how did you know right aways 1/3 voted against (is there mathematical why of doing it)?

Thanks for the clarification and help. But on

Question 1: can you please explain why you multiplied by 100?


Question 2: Can you please explain how did you know right aways 1/3 voted against (is there mathematical why of doing it)?

Sure.

In Question 1 we are trying to find the max volume.

We realised that 138 = 82% of max volume say C

=> 138 = 82/100 * C

So C = 138 * 100 / 82

Hope that makes sense.

In question 2, this is purely based on wording.

The question says, atleast 2/3 MUST vote. 2/3 of 40 is approx 26.67
But, a number of members must be an integer, right? Can it be 26? No - because that is LESS than 2/3 and we need aTLEAST 2/3. Thus the minimum possible value is 27.

This means the maximum possible value of the number of members who can vote against is (40 - 27) = 13

This is because if 14 voted against, then that means only 26 voted For, so this fails the criteria of ATLEAST 2/3.

138 - 82
? - 100

?=(100*138)/82
=168.29

shortage before storm=168-124=44



-------------


for 2/3*40= 26.66
against 1/3*40=13.33

so maximum vote against can be 13