Question

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?

Answer 1

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

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
`x`.

According to question:

Ratio of the votes = Number of votes

`2 : 1 = 8 : x`

`(2)/(1) =(8)/(x)`

By cross multiplication we get:

`2x=8`

Dividing both sides by 2 we get:

`x=4`

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.