Directions solve each of the following problems. Besure to show the equation used for the solution.
In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate received?
answer:
Let x = the number of votes received by the losing candidate, then the winning candidate received x + 220 votes. The sum of these two amounts equal 810.
Equation:
X+(x +200)=180 simplify & solve for x.
2x+220=810 subtract 220 from both sides.
2x = 590 divide both sides by 2
X = 295
The losing candidate received 295 votes.
The winning candidate received 295 + 220 = 515 votes.
correct. You can generally check these your self by going back to the original problem statement.
total= one candidate + other candidate
= 295 + 295 + 220 = 810
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