In a mayor's race of three candidates, Isaac received 4,000 votes, Benoit received 6000 votes and Rene received 1/3 of the votes. What was the total number of votes cast in the election?

Can anyone explain this. It seems like info is missing!

There are only three candidates.

Isaac 4000 votes
Benoit 6000 votes
Rene 1/3 of all the votes.

Therefore Isaac and Benoit together got (1-1/3)=2/3 of all the votes.
Total number of votes =(4000+6000)/(2/3)
=?

To find the total number of votes cast in the election, we can start by calculating the number of votes Rene received.

Let's say the number of votes Rene received is x. According to the information given, Rene received 1/3 of the votes.

Hence, we can set up the equation:

x = (1/3) * Total number of votes

Now, we know that Isaac received 4,000 votes and Benoit received 6,000 votes.

Therefore, the total number of votes can be calculated by adding up the votes received by all three candidates:

Total number of votes = Isaac's votes + Benoit's votes + Rene's votes

= 4,000 + 6,000 + x

But we know that x = (1/3) * Total number of votes

Therefore, substituting x in the equation:

Total number of votes = 4,000 + 6,000 + (1/3) * Total number of votes

Now, we can solve the equation to find the total number of votes cast:

Total number of votes - (1/3) * Total number of votes = 4,000 + 6,000

Simplifying further:

(2/3) * Total number of votes = 10,000

Divide both sides by (2/3):

Total number of votes = 10,000 / (2/3)

= 10,000 * (3/2)

= 15,000

Therefore, the total number of votes cast in the election is 15,000.

To find the total number of votes cast in the election, we can use the information given about the candidates' votes.

Let's start by figuring out the number of votes Rene received. It is stated that Rene received 1/3 of the votes. Since Isaac got 4,000 votes and Benoit got 6,000 votes, the remaining 2/3 of the votes must have gone to Rene.

To find the number of votes that Rene received, we can calculate 2/3 of the total votes, which is the sum of Isaac's and Benoit's votes.

2/3 * (4,000 + 6,000) = 2/3 * 10,000 = 6,666.67 (rounded to the nearest whole number)

Since votes must be whole numbers, we can assume that Rene received 6,667 votes.

Now, to find the total number of votes cast in the election, we can add up the votes received by each candidate:

Total votes = Isaac's votes + Benoit's votes + Rene's votes
Total votes = 4,000 + 6,000 + 6,667
Total votes = 16,667

Therefore, the total number of votes cast in the election was 16,667.