Each vote in a certain election went to one of two candidates, x or y. candidate x received 624 of the votes cast by men, and candidate y received 483 of the votes cast by women. how many votes did candidate x receive?

The statement 2 is sufficient and total number of votes candidate X received is 946.

Step-by-step explanation:

Consider the provided information.

Candidate X received 624 of the votes cast by men, and Candidate Y received 483 of the votes cast by women.

The required table is shown below:

                            X              Y

Men                   624             ?

Women                ?              483

We need to find how many votes did Candidate X receive?

Statement 1: Candidate X received 50% cast by men .

That mean remain 50% cast by Candidate Y.

Therefore the complete table will look like this:

                            X              Y

Men                   624           624

Women                ?             483

But we need to find the number of votes received by Candidate X.

We don't have enough information to find the sum of the values under X column. Hence, the statement 1 is not sufficient.

Statement 2: Candidate Y received 60% cast by women.

Candidate Y received 60% cast that means Candidate X received 40% cast.

0.6 of x = 483

x = 805

Now 40% of 805 is:  322

Thus, the complete table is:

                            X              Y

Men                   624           624

Women             322            483

Total                  946

Hence, the statement 2 is sufficient.