I'm studying for a math test and can't figure out this question.
at a recent election where 5,222 votes that were cast for 4 candidates. then Victor exceeded his opponents by 25,33,and76 votes. find the number of votes received by each candidate.
2007-12-09 09:29:34 · 6 answers · asked by thinkpink020 1 in Science & Mathematics ➔ Mathematics
you know that there were 5222 votes altogether so we will say x=5222 then we know that victor got altogether 25, 33, and 76 more votes than his opponents, so if we call the number of votes victor got "v" then his opponents got v-25, v-33, and v-76, respectively. we add them to "v" to get 4v-134 as he total number of votes. therefore, 5222=4v-134; 4v=5356; v=1339. so the number of votes per person are 1339, 1314, 1306, and 1263 votes.
2007-12-09 09:41:22 · answer #1 · answered by Nati F 3 · 1⤊ 1⤋
Call the number of votes Victor got X. Then the 4 vote counts are X, X - 25, X -33 and X - 76. Add them together.
4X - 134 = 5222. Solve for X and there ya go :)
2007-12-09 17:37:00 · answer #2 · answered by Scott Evil 6 · 1⤊ 1⤋
x+y+z+w=5222
x=y+25
x=z+33
x= w+76
so 4x-134 = 5222 and x= 1339 for victor
2007-12-09 17:37:40 · answer #3 · answered by santmann2002 7 · 1⤊ 1⤋
You can solve this with a system of linear equations.
Let w, x, y, z be the number of votes received by each candidate, with w the winner.
The system is:
w + x + y + z = 5222
w = x + 25
w = y + 33
w = z + 76
Happy solving :)
2007-12-09 17:37:42 · answer #4 · answered by a²+b²=c² 4 · 1⤊ 1⤋
x-(x-25)+(x-33)+(x-76)=5222
4x-134=5222
4x=5222+134
4x=5356
x=1339 then sub into formula for answers
2007-12-09 17:41:19 · answer #5 · answered by jgonzos6 4 · 0⤊ 1⤋
5222 = V + V - 25 + V - 33 + V - 76
5222= 4v - 136
That's your equation, I guess you could do the rest.
2007-12-09 17:40:07 · answer #6 · answered by Exploremore 3 · 1⤊ 1⤋