If a YES was a NO
Algebra
Level
2
I can't remember how many people voted, but I do know that the ratio of YES:NO votes was 9:8. If one of those who voted YES had voted NO, the ratio would have been 19:17.
How many people voted?
The answer is 612.
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1 solution
Let y be the number of YES votes, v be the number of voters. Convert ratios into fraction of voters who voted YES.
y = 9v/17
While y - 1 = 19v/36
So 9v/17 = (19v + 36)/36
324v = 323v + 612
v = 612