Answer:
48%
Explanation:
The total number of votes casted = 1524 votes = 100%
Let a = votes of first place candidate
b = votes of second place candidate
c = votes of third place candidate
The second place candidate had 140 votes less than the winner
b = a - 140 votes...... Equation 1
Hence,
a = b + 140.......... Equation 2
Second place candidate has 395 votes more than the last place candidate
b = c + 395.......Equation 3
Hence,
c = b - 395......Equation 4
a + b + c = 1524 votes....... Equation 5
If a = b + 140 and c = b - 395
The number of votes by b(second place candidate ) =
b + 140 + b + b - 395 = 1524 votes
3b = 1524 + 395 - 140
3b = 1779
b = 1779/3
b = 593 votes.
Therefore, the second place candidate had 593 votes.
Now we can calculate how many votes, the other candidates had.
The second place candidate had 140 votes less than the winner
Votes for the winner( first place candidate)
b = a - 140 votes...... Equation 1
Hence,
a = b + 140.......... Equation 2
Since b = 593
a = 593 + 140
a = 733 votes
Votes for the last place candidate
Since, Second place candidate has 395 votes more than the last place candidate
b = c + 395.......Equation 3
Hence,
c = b - 395......Equation 4
b = 593
c = 593 - 395
c = 198
From the above calculation,
a = votes of first place (winner) candidate = 733
b = votes of second place candidate = 593
c = votes of third(last) place candidate = 198
In the above question, we were asked to calculate the percentage of all the votes cast were received by the winner.
This is calculated as
= Voted received by winner/ Total number of votes casted × 100
= 733/1524 × 100
= 48.09711286%
Approximately to the nearest percent = 48%
Therefore, the percentage of all the votes cast were received by the winner = 48%