The average of 29 scores is 50. The average of the first 14 scores in 52 and that of the last 14 scores is 49. Then what is the 15th scores?

The average of 29 scores is 50. The average of the first 14 scores in 52 and that of the last 14 scores is 49. Then what is the 15th scores?

Explanation

The average of 29 scores is 50, so the total sum of all scores is:

29 x 50 = 1450

The average of the first 14 scores is 52, so the total sum of the first 14 scores is:

14 x 52 = 728

The average of the last 14 scores is 49, so the total sum of the last 14 scores is:

14 x 49 = 686

Now, let's add the sum of the first 14 scores and the last 14 scores:

728 + 686 = 1414

Since the total sum of all scores is 1450, the 15th score can be found by subtracting the sum of the first 14 and last 14 scores from the total sum:

1450 - 1414 = 36

So, the correct answer is: 36