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?
2006-08-31 14:28:12 · 28 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
If the loser had X votes, the winner had (X+160) -- so:
X+(X+160) = 3260
2X +160 = 3260
2X = 3100
X = 1550
2006-08-31 14:39:21 · answer #1 · answered by Ranto 7 · 2⤊ 2⤋
In all these questions, you need to come up with the equations. Assuming there are only 2 candidate A and B. Assume that A wins the election. With this basis, you set the equations based on the information given.
A = 160 + B (A has 160 more votes than B)
A + B = 3260 (total votes)
Once this is done, you are halfway home... the rest is just mathematics!
(160 + B) + B = 3260
2B = 3100
B = 1550
A = 1710
2006-08-31 15:27:31 · answer #2 · answered by Peter T 2 · 0⤊ 0⤋
ok, well lets look at it this way:
You have 2 candidates, one guy has 160 more than the other, thus, one would be x, meaning he got x votes, while the other guy got (x+160) votes. But, if there were 3260 votes all together, then
x+(x+160)=3260 because x and (x+160) stands for the number of votes each candidate got. Then from there, you combine like terms:
x+(x+160)=3260
2x+160=3260
2x=3100
x=1550
Now that you know the value for x, plug it back into the original values x and (x+160). Therefor, the candidate with the lowest number of votes got 1550 votes and the other guy got 1710 votes.
I hope this was helpful!
2006-08-31 14:40:33 · answer #3 · answered by Anonymous · 1⤊ 0⤋
X=the losers votes
x+160 = the winners votes
Losers + Winners = 3260
X + X+160 = 3260
2X = 3100
X = 1550
X=1550=Losers Votes
X+160 = 1710= Winners Votes
2006-09-08 06:39:07 · answer #4 · answered by Rachel M 2 · 0⤊ 0⤋
The winner had the loser plus 160. We will call this L+160. The loser had L votes. The total was 3260. Set up the equation...
L+160+L= 3260
2L + 160= 3260
2L= 3100
L= 1550
2006-08-31 14:41:57 · answer #5 · answered by weebat 3 · 0⤊ 0⤋
Lets call the winnders vote W and the loser L.
We know that W+L = 3260
and that W=L+160
So we can write
W+L = (L+160)+L = 3260
2L + 160 = 3260
2L = 3260 - 160 = 3100
L = 3100/2 = 1550
So, W=L+160=1550+160= 1710
Loser got 1550
Winner got 1710
2006-08-31 14:41:25 · answer #6 · answered by Vincent G 7 · 0⤊ 0⤋
Loser had X votes.
Winner had (X + 160) votes.
So,x + ( x + 160) =3260.
So we have 2x + 160 =3260 (solve for x)
you have 2x =3260 -160 (2x=3100) divide both sides of the equation by 2.
You get x=1550 ( votes got by the loser)
Winner had 1550+ 160 or 1710 votes.
2006-09-08 12:41:27 · answer #7 · answered by mundi g 1 · 0⤊ 0⤋
V+V+160=3260
2V+160=3260
2V+160-160=3260-160
2V=3100
V=1550
Loser=1550
Winner=1710
2006-09-08 07:29:16 · answer #8 · answered by ssbn598 5 · 0⤊ 0⤋
Divide the total number of votes cast(3260) by the number of candidates(2).
Subtract half the difference in the vote count(160) to get the total number of votes the loser received.(1550) Add 160 to this to get the WINNERS TOTAL.
Just don't count the hanging Chads and Totals may vary in Florida.
2006-09-07 17:19:20 · answer #9 · answered by frscon 1 · 0⤊ 0⤋
x represents loser
160 + x represents winner
winner's votes plus loser's votes = 3260
(160+x) + x = 3260
160 + 2x = 3260
2x = 3100
x=1550 which is the losers total
winner's total is x = 160 or 1550 + 160 which is 1710
2006-09-06 15:18:32 · answer #10 · answered by cashmanpg10 2 · 0⤊ 0⤋
Subtract 160 from total votes which winner has got more=3260-160=3100
After subtracting 160 both have got equal votes therefore divide 3100 by 2=3100/2=1550
It means loser candidate has got=1550
and winner candidate has got160 votes more=1550+160=1710
2006-08-31 14:49:31 · answer #11 · answered by Amar Soni 7 · 0⤊ 0⤋