In an election, a candidate secures 40% of the votes, but is defeated by the only other candidate with a majority of 298 votes. Find the total number of votes recorded.
- A1,470
- B1,270
- C1,490
- D1,290
Solution & Step-by-step Explanation
Let the total number of votes recorded be x.
The defeated candidate got 40% of the total votes.
Since there are only two candidates, the winning candidate got:
100%−40%=60% of the total votes
The difference in their vote shares is the majority:
60% of x−40% of x=298
20% of x=298
100
20
×x=298
5
1
×x=298
x=298×5=1,490
The defeated candidate got 40% of the total votes.
Since there are only two candidates, the winning candidate got:
100%−40%=60% of the total votes
The difference in their vote shares is the majority:
60% of x−40% of x=298
20% of x=298
100
20
×x=298
5
1
×x=298
x=298×5=1,490