SOLUTION: 1) 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

Algebra ->  Average -> SOLUTION: 1) 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      Log On


   

Question 1130514: 1) 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?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x=votes for Amanda
1.5x=votes for Katie
(x+8)=(1.5x-8)*2, which means Katie has to double her votes in this instance to equal Amanda.
x+8=3x-16
2x=24
x=12 votes for Amanda
1.5x=18 votes for Katie
x+8 would be 20 for Amanda, and 1.5x-18 would be 10 for Katie.
30 people voted. ANSWER