A certain number of people are sitting in a row, facing north. Only eight people sit to the left of S. P sits third from the right end of the row. R sitsthird to the left of S. Only eleven people sit between K and R. Only three people sit between K and P. If no other person is sitting in the row, what is the total number of persons seated?
Solution
To find the total number of people, we first locate S, who is 9th from the left (8 people are to his left). Since R sits third to the left of S, R is at the 6th position. We are told 11 people sit between K and R, placing K at the 18th position (6 + 11 + 1). Next, since 3 people sit between K and P, P must be at the 22nd position (18 + 3 + 1). Finally, the problem states P is the third person from the right end, meaning there are exactly 2 people seated to his right. Therefore, the total number of persons is 22 + 2 = 24.
