Question

Two candidates contested an election. The winning candidate scored 54% and won by 88 votes. if 58 votes were declared invalid find the total number of votes polled in the election?​

Answer 1

Answer:

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Answer 2

The total number of votes polled in the election was 1158.

Let's assume that the total number of votes polled in the election is "x".

Then, the number of valid votes polled is "x - 58" (since 58 votes were declared invalid).

Let's also assume that the losing candidate scored "y" percent of the valid votes. Since the winning candidate scored 54% of the valid votes, we know that:

y + 54 = 100

Solving for "y", we get:

y = 46

This means that the losing candidate scored 46% of the valid votes.

We also know that the winning candidate won by 88 votes. So, if we set up an equation using this information, we get:

0.54(x - 58) - 0.46(x - 58) = 88

Simplifying this equation, we get:

0.08(x - 58) = 88

Multiplying both sides by 100, we get:

8(x - 58) = 8800

Expanding and simplifying, we get:

8x - 464 = 8800

Adding 464 to both sides, we get:

8x = 9264

Dividing both sides by 8, we get:

x = 1158

Therefore, the total number of votes polled in the election was 1158.

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