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Ariel ranked 6th from the top and 18th from the bottom in her class. How many students are there in the class?
23
26
25
22
23
Total students = (Rank from top + Rank from bottom) - 1
Total students = (Rank from top + Rank from bottom) - 1
Identify Given Data
Ariel's rank from the top = 6. Ariel's rank from the bottom = 18.
Apply Ranking Formula
Total number of students = (Position from Top + Position from Bottom) - 1. We subtract 1 because Ariel's position is counted twice (once from top and once from bottom).
Calculate Final Answer
Total students = 6 + 18 - 1 = 24 - 1 = 25.
B: 23 is incorrect because 6 + 18 - 1 equals 25, not 23. B) 26 is incorrect because adding 6 and 18 gives 24, subtracting 1 gives 25. D) 22 is incorrect as the standard ranking formula yields 25.
C is correct because the total number of students in a class when a person's rank from both top and bottom is given is calculated as (Top Rank + Bottom Rank - 1), which gives 6 + 18 - 1 = 25.
Always remember to subtract 1 when counting total items or persons when their positions from both ends are known, as they are included in both counts.
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