In the election for student council, candidate a received 55% of the total votes, while candidate b received 1541 votes. if candidate c received 40% of the votes that candidate a received, how many total votes were cast?

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

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2