Five candidates-A,B,C,D and E were in an election. Canidate A was elected with 30 votes,B placed second and E was in last with 3 votes. If 59 votes were cast, and no two candidates had the same number of votes, what is the smallest number of votes thet B could have received?

Question

anonymous · Answer

A - 30
B - x
C - y
D - z
E - 3

59 - 33 = 26

x+y+z = 26
None of them can have the same number of votes.
so 
x > y > z

hero · Answer

z has to have at least 4 votes
y has to have at least 5 votes
x will have the rest 17

hero · Answer

I had a solution similar to yours, I went about it in a different way. Got the same numbers

anonymous · Answer

thank you guys so much

hero · Answer

Medals?

anonymous · Answer

2

phi · Answer

How about B 10 C 9 D 7

hero · Answer

Yeah, I figured I went about this the wrong way.

hero · Answer

Phi has it

hero · Answer

But Phi, next time, you should post your steps