Question

A won the election by a majority of 150 votes. If only two candidates contested, and A secured 60% of valid votes. Find the total number of valid votes?​

Answer 1

Answer:

A won the election by a majority of $150$ votes. If only two candidates contested, and A secured $60$% of valid votes. The total number of valid votes are $750$

Step-by-step explanation:

Let A and B be the candidates

Assume y is the total number of valid votes

candidate A secured $60$% of the valid votes, whereas candidate B secured remaining $40$%

also, it is given that A won the election by a majority of $150$ votes

from this, we can write if $x$ is the number of votes secured by B, then $x+150$ is the votes secured by A

$60$% of total votes  is equal to

$y(\frac{60}{100})= x+150$ (equation $1$)

$40$% of the total votes is equal to $y(\frac{40}{100} )=x$

$x=4y/10$ substitute this value in the equation $1$ we get

$6y/10=4y/10+150\\2y/10=150\\2y=1500\\y=750$

so the total number of valid votes is $750$

Answer 2

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