In an election, one of the two candidates received 65 percent of the votes and got 1500 votes more than the other candidate. How many people voted?
2007-05-16 07:47:53 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
candidate 1 = "x" votes
candidate 2 = "x+1500" votes
total people = 2x+1500
***candidate 1 got 35% of the votes
x = 35% of (2x+1500)
x = 35/100 of (2x+1500)
100x = 35(2x+1500)
100x = 70x + 52500
30x = 52500
x = 1750
Number of people = 2x+1500 = 2*1750+1500 = 5000
ANSWER: the number of people is 5000 ☺☺☺☻☻☻
Hope this helps
2007-05-16 08:00:30 · answer #1 · answered by zindagii_peru 4 · 1⤊ 0⤋
One candidate got 65% the other got 35% a difference of 30%
therefore 30% of the total number of votes is 1500 votes
Total number of votes is 5000
2007-05-16 14:54:51 · answer #2 · answered by Blank 2 · 0⤊ 1⤋
The difference between the candidates is 30% (65%-35%) or 1500 votes
If we know that 30% of the votes is 1500, then the total number of votes must be 5,000
2007-05-16 14:53:41 · answer #3 · answered by Anonymous · 0⤊ 1⤋
Difference between two candidates is 30 percent, so 30 percent equals 1500 votes. 1%, then, would equal 50 votes, so, 100% would equal 5000 votes, 35 % =1750 votes, and 65% =3,250 votes.3250 - 1750 = 1500; 3250 + 1750 =5000.
The answer is 5,000 people voted
2007-05-16 15:05:25 · answer #4 · answered by papaw 7 · 0⤊ 0⤋
65 % corresponds with 1500 votes
thus
1 % corresponds with 1500/65
thus
100 % corresponds 1500*100/65
2007-05-16 14:53:31 · answer #5 · answered by gjmb1960 7 · 0⤊ 1⤋