SOLUTION: Solve the problem by stating the equation you would use to solve and then solving it. Be sure to show all of your work. In a local election, 25,800 people voted. This was an inc

Question 404085: Solve the problem by stating the equation you would use to solve and then solving it. Be sure to show all of your work.
In a local election, 25,800 people voted. This was an increase of 5% over the last election. How many people voted in the last election? Round to the nearest whole person.

Answer by Algebra2you(12) (Show Source): You can put this solution on YOUR website!
Let's write an algebraic equation and then solve it.
x= number of people that voted in the last election
Now to write an expression for 5% of x, we convert the 5% to a decimal by moving the decimal two spaces to the left. so 5.0% would be 0.05. Now of means multiply so 5% of x is 0.05x.
The equation would read x+0.05X=25,800 since the number of people that voted in the last election plus 5% more is the number of people that voted now.
Simplify to read
1.05x+25,800 Remember there is an invisible 1 as a coefficient in front of the x. When we combine like terms, we get 1x+0.05x= 1.05x.
x=24571 Divide both sides by 1.05 to isolate the x.
So 24571 people voted in the last election
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