Question

In an election between two candidates K and L, the number of valid votes received by K exceeds those received by L by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did L get ?

Answer 1

Hey mate ^_^

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Answer:
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Let the total number of votes polled in the election be $100k$.

Number of valid votes

$= 100k - 20\%(100k)$

$= 80k$

Let the number of votes polled in favour of K and L be 'a' and 'b' respectively.

$a - b = 15\%(100k)$

$a = b + 15k$

$a + b = b + 15k + b$

Now,

$2b + 15k = 80k$

Hence,

$b = 32.5k$

It is given that,

$100k = 8720$

$32.5k = \frac{32.5k}{100k} \times 8720 = 2834$

The number of valid votes polled in favour of L is 2834.

Therefore,

Answer: 2834

#Be Brainly❤️

Answer 2

Heyy mate ❤✌✌❤

Here's your Answer...

⤵️⤵️⤵️⤵️⤵️⤵️⤵️

Let the total number of votes polled in the election be 100k.

Number of valid votes = 100k - 20% (100k) = 80k
Let the number of votes polled in favour of K and L be a and b respectively.

a - b = 15% (100k) => a = b + 15k

=> a + b = b + 15k + b
Now, 2b + 15k = 80k and hence b = 32.5k

It is given that 100k = 8720
32.5k = 32.5k/100k x 8720 = 2834

The number of valid votes polled in favour of L is 2834
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