Question

3 candidates, A,B and C contest an election. A gets at least 40% of all the votes. B gets at least 20% of the
number of votes that A gets and cannot get more that 80% of number of votes that C gets. What is the
maximum percentage of votes that A can get?
a)69%
b)55% c)58%
d) cannot be determined​

Answer 1

Answer:

A

Step-by-step explanation

Lets call the total amount of votes V

So A gets at least (2V/5)

And B gets at least (2V/25)

B cant get 80% of the votes of C

Lets convert everything to nV/100

• A=40V/100
• B=8V/100
• C=8V/100*(Q<4/5)

Lets say 60%

That means that C is

24V/500 or

6V/125

The sum of A and B is 12V/25

And If we add up A+B+C

We get 66V/125

And That isnt our largest

So our largest is 69%

Nice

Our answer is A