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?

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 .

According to question:

Ratio of the votes  = Number of votes

By cross multiplication we get:

Dividing both sides by 2 we get:

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.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2