The winner had 5 more votes than 1 candidate and 8 more than the other.
2007-04-16 11:21:44 · 4 answers · asked by sg_mathlover 1 in Science & Mathematics ➔ Mathematics
winner = x votes
other1 = y votes
other2 = z votes
x + y + z = 86
x = y + 5 therefore, y = x - 5
x = z + 8 therefore z = x - 8
x + x - 5 + x - 8 = 86 (substitute equations 2 and 3 into first equation)
3x - 13 = 86
3x = 99
x = 33
The winner received 33 votes, Other1 received 28 (x - 5)votes, and Other2 received 25 (x - 8) votes.
2007-04-16 11:28:51 · answer #1 · answered by mwebbshs 3 · 1⤊ 0⤋
The formula to answer this word problem goes like this:
There were a total of 86 votes cast, so our formula must add up to 86.
Let's say the winner had W votes.
The next candidate had five fewer votes (W-5).
The last candidate had 8 fewer votes than the winner (W-8).
So now we have a way to figure this out.
W + (W-5) + (W-8) = 86
Solve for W and you'll know how many votes the winner had!
2007-04-16 18:28:42 · answer #2 · answered by ZeroCarbonImpact 3 · 0⤊ 0⤋
w + w-1 + w-8 = 86
3w -9 = 86
3w = 95
The winner received 31 2/3 votes.
If you figure out my mistake, you will have the solution all completed for your homework assignment.
2007-04-16 18:24:55 · answer #3 · answered by Vegan 7 · 0⤊ 0⤋
33
28
25
2007-04-16 18:26:11 · answer #4 · answered by gorebooth2001 2 · 2⤊ 0⤋