Let's denote the number of votes Carol received as C. According to the problem, Alan received C + 105 votes.

The total number of votes cast was 735. Therefore, we can set up the following equation to represent the total votes:

C + (C + 105) = 735

Solving this equation will give us the number of votes each candidate received.

First, combine like terms:

2C + 105 = 735

Next, subtract 105 from both sides of the equation:

2C = 630

Finally, divide both sides by 2 to solve for C:

C = 315

So, Carol received 315 votes.

Since Alan received 105 more votes than Carol, Alan received 315 + 105 = 420 votes.

So, Carol received 315 votes and Alan received 420 votes.

Question

Let's denote the number of votes Carol received as C. According to the problem, Alan received C + 105 votes.

The total number of votes cast was 735. Therefore, we can set up the following equation to represent the total votes:

C + (C + 105) = 735

Solving this equation will give us the number of votes each candidate received.

First, combine like terms:

2C + 105 = 735

Next, subtract 105 from both sides of the equation:

2C = 630

Finally, divide both sides by 2 to solve for C:

C = 315

So, Carol received 315 votes.

Since Alan received 105 more votes than Carol, Alan received 315 + 105 = 420 votes.

So, Carol received 315 votes and Alan received 420 votes.

Knowee AI · Accepted Answer