In an election, there were three candidates - A, B and C. The winner, A, got five times the votes received by C. B got 240 votes which was 1.5 times the votes of C. How many total votes were polled in the election if there were no bogus votes?
- A1500
- B1400
- C1600
- D1200
Solution & Step-by-step Explanation
Let the number of votes received by candidate C be x.
Given:
Votes received by B = 240
Also, B's votes = 1.5×votes of C
1.5×x=240
x=
1.5
240
=160
So, C received 160 votes.
Winner A received 5 times the votes of C:
Votes of A=5×160=800
The total votes polled in the election is the sum of votes of A, B, and C:
Total Votes=Votes of A+Votes of B+Votes of C
Total Votes=800+240+160=1200
Given:
Votes received by B = 240
Also, B's votes = 1.5×votes of C
1.5×x=240
x=
1.5
240
=160
So, C received 160 votes.
Winner A received 5 times the votes of C:
Votes of A=5×160=800
The total votes polled in the election is the sum of votes of A, B, and C:
Total Votes=Votes of A+Votes of B+Votes of C
Total Votes=800+240+160=1200