i need this word problem put into an algebra equation: in an election 510 votes were cast, the winner received 380 more votes than the loser, how many votes did the loser receive?
2007-07-13 09:56:56 · 7 answers · asked by sue dean 3 in Science & Mathematics ➔ Mathematics
let loser receive x votes
x + (x + 380) = 510
2x = 130
x = 65
Loser received 65 votes
2007-07-13 10:21:00 · answer #1 · answered by Como 7 · 0⤊ 0⤋
Let
W = number of votes received by winner
L = number of votes received by the loser
"in an election 510 votes were cast" means
W + L = 510
" the winner received 380 more votes than the loser" means
" the number of votes received by winner is 380 more than the number of votes received by the loser"
" (the number of votes received by winner) is 380 more than (the number of votes received by the loser)"
" (W) is 380 more than (L)"
" (W) = (380 more than) (L)"
W = 380 + L
we now have 2 equations
W + L = 510
W = 380+ L
(380 + L) + L = 510
380 + 2L = 510
2L = 510 - 380
2L = 130
L = 130/2 = 65
W = 380 + L
W = 380 + 65
W = 445
2007-07-13 17:05:45 · answer #2 · answered by buoisang 4 · 0⤊ 0⤋
Ok. Let x = the # of votes for the loser. The winner then gets x + 380 votes. Total votes = 510, so
(x + 380) + x = 510
is your equation.
2007-07-13 17:01:46 · answer #3 · answered by carrie1740 2 · 0⤊ 0⤋
65
say x=votes loser recieved
and x+380=votes winner recieved
and there are 510 votes in all. so...
x+(x+380)=510 and then just solve it to get 65
2007-07-13 17:02:44 · answer #4 · answered by candyyy 2 · 0⤊ 0⤋
Let x be the number of votes the loser obtained.
x + (x + 380) = 510
2x = 130
x = 65
2007-07-13 17:00:52 · answer #5 · answered by Anonymous · 0⤊ 0⤋
x+x+380 =510
x=losers votes
2007-07-13 17:00:38 · answer #6 · answered by A L 2 · 0⤊ 0⤋
x=winner
y=loser
v= votes
x+y=v
380+y=510
-380 -380
y= 130
2007-07-13 17:02:19 · answer #7 · answered by Anonymous · 1⤊ 0⤋