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Kevin ranked 15th from the top and 20th from the bottom in his class. How many students are there in his class?
36
33
34
35
34
To find the total number of students in a rank, add the top rank and the bottom rank and subtract 1 because the person is counted twice.
To find the total number of students in a rank, add the top rank and the bottom rank and subtract 1 because the person is counted twice.
Identify given values
Kevin's rank from the top is 15th and from the bottom is 20th.
Apply the formula
Total students = (Rank from top) + (Rank from bottom) - 1. So, 15 + 20 - 1 = 35 - 1 = 34.
A: 36 is incorrect as it assumes simple addition without subtracting the duplicate count. B: 33 is incorrect as it subtracts twice. D: 35 is incorrect as it fails to subtract the overlapping count.
C is correct because the formula for the total number of individuals when the position from both ends is known is (Left/Top + Right/Bottom - 1), which gives 15 + 20 - 1 = 34.
Always remember the -1 rule when a single person's position is given from both sides, as they are being counted in both sets.
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