In an election, the winning candidate had 160 more votes than the loser. If the total number of votes cast was 3260, how many votes did each candidate receive?
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x = candidate A
X + 160 = candidate B
X + (X + 160) = 3260
2X + 160 = 3260
2X + 160 - 160 = 3260 - 160
2X = 3100
Divide by 2 on both sides
X = 1550 = candidate A
1550 + 160 =1710 = candidate B
X + 160 = candidate B
X + (X + 160) = 3260
2X + 160 = 3260
2X + 160 - 160 = 3260 - 160
2X = 3100
Divide by 2 on both sides
X = 1550 = candidate A
1550 + 160 =1710 = candidate B
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3260-160=3100
that is what they have in total when equal
3100/2=1550
so that is what the second candidate had
therefore
1550 is second
1550+160=1710 is winning candidate
that is what they have in total when equal
3100/2=1550
so that is what the second candidate had
therefore
1550 is second
1550+160=1710 is winning candidate
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if they got equal votes, then their double votes will be= (3260-160)= 3100
then one of them got= (3100/2)= 1550
therefore the candidate getting more vote= (1550+160)= 1710
isn't it very simple??
then one of them got= (3100/2)= 1550
therefore the candidate getting more vote= (1550+160)= 1710
isn't it very simple??
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Answer;
If loser got x votes then winner got x +160 and both voters total equal to x + x + 160 = 3260
2x = 3100 hence x = 1550 thats the loser votes and winners vote will be 1550 + 160 = 1710 votes
If loser got x votes then winner got x +160 and both voters total equal to x + x + 160 = 3260
2x = 3100 hence x = 1550 thats the loser votes and winners vote will be 1550 + 160 = 1710 votes
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first remove 160 votes from total which wining candidate got.
3260 - 160 - 3100.
divided by 2
3100/2 = 1550
Wining candidate got 1550 + 160 = 1710 votes
Loosing candidate got 1550 votes
3260 - 160 - 3100.
divided by 2
3100/2 = 1550
Wining candidate got 1550 + 160 = 1710 votes
Loosing candidate got 1550 votes
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Ok this is how I would do it.
3260-160=3100
3100/2=1550
1550+160=1710 votes received the winning candidate.
1550 votes received the losing candidate.
3260-160=3100
3100/2=1550
1550+160=1710 votes received the winning candidate.
1550 votes received the losing candidate.
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Say the loser got x votes so the winner got (160+x) votes
160+ x + x = 3260
2x = 3100
x = 1550
Loser got 1550 votes so winner got 160+1550=1710 votes
160+ x + x = 3260
2x = 3100
x = 1550
Loser got 1550 votes so winner got 160+1550=1710 votes
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3260/2 = 1630
1630+(160/2) = winner = 1710
1630-(160/2) = loser = 1550
:)
1630+(160/2) = winner = 1710
1630-(160/2) = loser = 1550
:)
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Winning candidate is secured : 1790 votes
and Second candidate is secured : 1470 votes
and Second candidate is secured : 1470 votes
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2x + 160 = 3260
2x = 3420
x = 1710
One candidate had 1710 votes, the other had 1550 votes.
2x = 3420
x = 1710
One candidate had 1710 votes, the other had 1550 votes.
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take away 160 from 3260 then divide by 2, then your answer will be there, add the 160 back on to the winning candidate and voila!
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Let L be loser and W be winner.
W = L + 160
W + L = 3260
L + 160 + L = 3260
2L = 3100
L = 1550
W = 1710
W = L + 160
W + L = 3260
L + 160 + L = 3260
2L = 3100
L = 1550
W = 1710