SOLUTION: In an election between two candidates, 490 votes were cast. If the winner received 270 more votes than the loser, how many votes did the loser receive? a.760 b.110 c.380 d.220

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Question 250121: In an election between two candidates, 490 votes were cast. If the winner received 270 more votes than the loser, how many votes did the loser receive?
a.760
b.110
c.380
d.220
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=490
x+270=y
2x+270=490
2x=220
x=110
answer b.110 received by the loser
Bonus question
Why can't it be 220 (loser)+270 (winner)=490 (total)?

see below for answer




because the difference between them has to be 270 not 50
110+270=380 winner
110 loser
110 loser +380 winner =490 total