During class elections 64 students voted for candidate A .if the ratio of votes for candidate a is to the votes for candidate B was 8:5,how many votes did candidate B receive?
8/5 = 64/x
40
40
To find the number of votes candidate B received, we need to determine the ratio between the votes for candidate A and candidate B.
Given that the ratio of votes for candidate A to candidate B is 8:5, we can set up the equation:
8x + 5x = 64
Combining like terms, we have:
13x = 64
To solve for x, we divide both sides of the equation by 13:
x = 64/13
x ≈ 4.92
Since we cannot have partial votes, we round down to the nearest whole number. Thus, x = 4.
Now, we can determine the number of votes candidate B received by multiplying x by the ratio value for candidate B:
5 * 4 = 20
Therefore, candidate B received 20 votes.
To find out how many votes Candidate B received, we first need to figure out the total number of votes cast.
Given that the ratio of votes for Candidate A to Candidate B is 8:5, we can assume that the total number of votes can be represented as 8x + 5x, where x is a common factor.
Since we know that 64 students voted for Candidate A, we can write the equation as follows:
8x = 64
To solve for x, we divide both sides of the equation by 8:
8x/8 = 64/8
x = 8
Now, substituting the value of x back into the equation, we can find the total number of votes:
8x + 5x = 8(8) + 5(8) = 64 + 40 = 104
Therefore, the total number of votes cast is 104.
To find out how many votes Candidate B received, we can use the ratio:
Votes for Candidate B = (5/8) * Total votes
= (5/8) * 104
= 65
Candidate B received 65 votes.