Question

The polling results show the ratio of votes for Candidate A to Candidate B.

Candidate A Candidate B
15 18
25 30
35 42
45 ?


At this rate, if Candidate A received 45 votes, how many votes did Candidate B receive?
54
56
60
90

Answer 1

The correct answer is 54.

Step-by-step explanation:

The ratio of votes for Candidate A to Candidate B can be determined from the given data.

From the first row, we see that for every 15 votes Candidate A receives, Candidate B receives 18 votes. This gives us a ratio of 1815​=65​

.

This means that for every 5 votes Candidate A receives, Candidate B receives 6 votes.

If Candidate A received 45 votes, we can calculate the number of votes for Candidate B by maintaining the same ratio:

45CandidateB′svotes​=56​

Solving this equation gives us Candidate B’s votes as 56​×45=54

.

So, if Candidate A received 45 votes, Candidate B would have received 54 votes. Therefore, the correct answer is 54.

Answer 2

The ratio of Candidate A's votes to Candidate B's votes is 5:6. Using this ratio, if Candidate A received 45 votes, then Candidate B would receive 54 votes.

Step-by-step explanation:

The question asks to continue the pattern of votes for Candidates A and B to determine how many votes Candidate B would receive if Candidate A received 45 votes. To solve for this, we need to find the ratio between Candidate A's and Candidate B's votes and then apply this ratio to the new number of votes for Candidate A.

Looking at the provided ratios:

• Candidate A : Candidate B = 15 : 18
• Candidate A : Candidate B = 25 : 30
• Candidate A : Candidate B = 35 : 42

We can see that for every 5 votes Candidate A receives, Candidate B receives 6 votes, since 15/5 = 3 and 18/6 = 3, and so on for the other ratios. Therefore, if Candidate A received 45 votes, we divide this number by 5 to find the number of times the ratio applies, which is 45 / 5 = 9 times. Then we multiply this by 6 (since for every 5 votes for A there are 6 votes for B) to find Candidate B's votes: 9 * 6 = 54.

Thus, if Candidate A received 45 votes, Candidate B would have received 54 votes.