Asked by Anonymous
Katie was chosen as a student leader. She got 3 votes for every 2 votes that Amanda got. If 8 people changed their minds and chose Amanda instead of Katie, Katie would only have gotten 1 vote for every two that Amanda got. How many people voted?
I want to know a simple way to solve this.
I want to know a simple way to solve this.
Answers
Answered by
Damon
kat votes = k
Aman votes = (2/3) k
later
Aman gets (2/3) k + 8
Kat gets k - 8
and
(k-8)2 = (2/3) k + 8
or
3 (2 k - 16) = 2 k + 24
6 k - 48 = 2 k + 24
4 k = 72
k = 18
take it from there after checking my sloppy arithmetic.
Aman votes = (2/3) k
later
Aman gets (2/3) k + 8
Kat gets k - 8
and
(k-8)2 = (2/3) k + 8
or
3 (2 k - 16) = 2 k + 24
6 k - 48 = 2 k + 24
4 k = 72
k = 18
take it from there after checking my sloppy arithmetic.
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