Vivenne, john and nassim ran for 6th grade class president. vivenne got four votes for every 3 votes that john got. nassim got two votes for every vote that vivenne got. what percentage of the votes did john get overall?

John received 10% of the overall votes.

Step-by-step explanation:

Let us assume that the number of votes John got  = m

So, the number of votes Vivienne received =   3 times (John's share )

 = 3  times m   =  3 m

Also, The number of Votes Nassim received = 2 times ( Vivienne's share)

2 x (3 m)   = 6 m

Total Votes in the grade 6  

= Votes received by { John + Vivienne + Nassim}

= m + (3 m) + (6 m) = 10 m

Hence, the total number of students who voted in grade 6  = 10 m

=

or, The percentage of John's Votes  = 10%

Hence, John received 10% of the overall votes.