Question

In an election between two candidates, one candidate secured 43% of the total votes polled and lost the election by 4900 votes. Find the total number of votes polled.

Answer 1

Answer:

35000

Step-by-step explanation:

one candidate secured 43%

another got 57%

the difference is 14%

when the difference is 14 total votes pooled are 100 and when it is 4900 total votes are 35000

Answer 2

Total number of votes polled is 35,000.

Step-by-step explanation:

We are given that in an election between two candidates, one candidate secured 43% of the total votes polled and lost the election by 4900 votes.

Let the total number of votes be $x$.

One candidate secured votes = 43%

Another candidate secured votes = 1 - 0.43 = 0.57 or 57%

Now, Number of votes first candidate got = 43% of total votes

                                                                      = $\frac{43}{100}\times x$

                                                                      = $0.43x$

Number of votes another candidate got = 57% of total votes

                                                                   = $\frac{57}{100}\times x$

                                                                   = $0.57x$

So, According to question first candidate lost the election by 4900 votes, that means;

                    $0.57x-0.43x=4900$

                           $0.14x=4900$

                               $x=\frac{4900}{0.14}$

                                  = $\frac{490000}{14}$ = 35,000

Therefore, the total number of votes polled was 35,000.

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