SOLUTION: In a town election, the winning candidate had 220 more votes than the loser. If the 810 votes were cast in all, how many votes did each candidate recieve? The lenght of a recta

Algebra ->  Graphs -> SOLUTION: In a town election, the winning candidate had 220 more votes than the loser. If the 810 votes were cast in all, how many votes did each candidate recieve? The lenght of a recta      Log On


   



Question 85445: In a town election, the winning candidate had 220 more votes than the loser. If the 810 votes were cast in all, how many votes did each candidate recieve?
The lenght of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle.

Can I possibily get some help, or get these word problems explained to me? Thank you for the help!

Answer by scianci(186) About Me  (Show Source):
You can put this solution on YOUR website!
let x = loser's votes
x + 220 = winner's votes
x + x + 220 = 810
2x + 220 = 810
2x = 590
x = 295 votes for loser
x + 220 = 295 + 220 = 515 votes for winner
let x = width of rectangle
2x + 2 = length of rectangle
x + 2x + 2 + x + 2x + 2 = 34
6x + 4 = 34
6x = 30
x = 5
width = 5 ft.
2x + 2 = 2(5) + 2 = 12
length = 12 ft.