During a class election the ratio of students who voted for candidate A compared to
candidate B was 2 : 1. If candidate A received 8 votes, what is the combined amount of
votes candidate A and candidate B received?

Respuesta :

Answer:

The combined amount of  votes of candidate A and candidate B received are 12.

Step-by-step explanation:

Given:

Ratio of the students who voted for candidate A compared to candidate B was 2 : 1.

If candidate A received = 8 votes.

Now, to find the the combined amount of  votes candidate A and candidate B received.

Let the number of votes of candidate B be [tex]x[/tex].

According to question:

Ratio of the votes  = Number of votes

[tex]2 : 1 = 8 : x[/tex]

[tex]\frac{2}{1} =\frac{8}{x}[/tex]

By cross multiplication we get:

[tex]2x=8[/tex]

Dividing both sides by 2 we get:

[tex]x=4[/tex]

Candidate B received = 4 votes.

Now, the combined votes of candidate A and B = 8 + 4 = 12.

Therefore, the combined amount of  votes of candidate A and candidate B received are 12.