have been struggling on this problem for awhile now and I was wondering if someone would help me? Please and Thank you!! I would deeply appreciate it!
In a two-candidate election 1401 votes were cast. If 30 voters had switched their votes from the winner to the loser, the loser would have won by 5 votes. How many votes did each candidate actually recieve?
W = number of votes the winner received
L = number of votes the loser received.
>>...1401 votes were cast...<<
That means W + L = 1401
>>...If 30 voters had switched their votes from
the winner to the loser...<<
That means the winner would have gotten W-30
and the loser would have gotten L+30
>>...the loser would have won by 5 votes...<<
L+30 is 5 more than W-30 or
(L+30) = (W-30) + 5
So we have this system of equations:
Can you solve that system by simplifying the
second equation and then using substitution
or elimination? If not post again asking how.
Answer: W = 728 votes, L = 673 votes.
They do add to 1401.
If the winner had had 30 votes less he would have had 698 votes.
If the loser had had 30 votes more he would have had 703 votes.
So the loser would have won by 5 votes.
So we have the right answer. Just solve the system.
Edwin