The polling results show the ratio of votes for Candidate A to Candidate B.
Candidate A Candidate B
8 14
12 21
20 35
32 ?
At this rate, if Candidate A received 32 votes, how many votes did Candidate B receive?
36
50
54
56
To find the ratio between Candidate A and Candidate B, we can divide the number of votes for Candidate A by the number of votes for Candidate B:
8/14 = 12/21 = 20/35
Applying the ratio to Candidate A's result of 32 votes, we can calculate the corresponding amount for Candidate B:
32/(8/14) = 32 * (14/8)
= 7 * 4
= 28
Therefore, Candidate B received 28 votes.
To find the answer, we need to determine the ratio of votes for Candidate A and Candidate B. We can calculate this ratio by dividing the number of votes for Candidate A by the number of votes for Candidate B for each given pair.
The ratio for the first pair is calculated as 8/14 = 0.5714.
The ratio for the second pair is calculated as 12/21 = 0.5714.
The ratio for the third pair is calculated as 20/35 = 0.5714.
We can see that the ratio of votes for Candidate A to Candidate B is consistently 0.5714.
Now, we can use this ratio to calculate the number of votes Candidate B received when Candidate A received 32 votes.
Let the number of votes for Candidate B be x.
So, the equation can be set up as:
8/14 = 32/x
To solve for x, we cross multiply:
8x = 14 * 32
8x = 448
x = 448/8
x = 56
Therefore, Candidate B received 56 votes.