27 Students In A Class Had One Vote Each For A Class Captain., They Voted For Ben, Erin Or Tim., Ben Got 3 More Votes Than Erin., Ben Got 6 More Votes
27 students in a class had one vote each for a class captain.
They voted for Ben, Erin or Tim.
Ben got 3 more votes than Erin.
Ben got 6 more votes than Tim.
How many votes did Ben get?
Number of votes for Ben = x
Number of votes for Erin = y
Number of votes for Tim = z
x + y + z = 27 ----(1)
Given,
x = y+3
or, y=x-3 ----(2)
x=z+6
or, z=x-6 ---(3)
Substitute (3) and (2) in (1)
x + (x-3) + (x-6) = 27
3x-9=27
x=(27+9)/3= 12
Ben got 12 votes
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