1. ## math help/algebra

social science in a town election the winning candidate has 220 more votes than the loser. if 810 votes were cast in all how many votes did each candidate receive?
i wrote 220 + x = 810
x=590
candidate one =590
candidate 2 = 220
am i correct this is an algebra question
show the equaiton correct me if need be thanks

2. Originally Posted by lizard4
social science in a town election the winning candidate has 220 more votes than the loser. if 810 votes were cast in all how many votes did each candidate receive?
i wrote 220 + x = 810
x=590
candidate one =590
candidate 2 = 220
am i correct this is an algebra question
show the equaiton correct me if need be thanks
Okay, call the number of votes for candidate 1 as x, and the number of votes for candidate 2 as y. I will presume candidate 2 wins so y > x. (It doesn't matter which candidate we pick as long as we pick one.) Then we know that
$\displaystyle x + y = 810$
and
$\displaystyle y - x = 220$

Can you solve this from here?

-Dan