Answer:
6700
Step-by-step explanation:
Hello!
To solve this problem we must raise a small equation, consider the following!
1. the variable we call X is the total number of votes
2. If we add the votes of all the candidates, it will result in the total number of votes
3. number of votes for candidate A = X (55%) = 0.55X
4.number of votes for candidate b = 1541
5. number of votes for candidate C = 40% (0.55X) = (0.4) (0.55) X = 0.22X
we raise the equation
0.55X+1541+0.22X=X
Now we solve for X, using algebraic operations on both sides of the equation
[tex]0.55X+1541+0.22X=X\\1541=X-0.55X-0.22X\\1541=X(1-0.55-0.22)\\1541=0.23X\\X=\frac{1541}{0.23} =6700\\total votes=6700[/tex]
