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Sarah ranked 9th from the top and 21st from the bottom in her class. How many students are there in the class?
29
30
31
28
29
To find the total number of people in a single line, add the rank from top and bottom, then subtract 1 because the individual is counted twice.
To find the total number of people in a single line, add the rank from top and bottom, then subtract 1 because the individual is counted twice.
Identify given parameters
Sarah's rank from the top is 9 and her rank from the bottom is 21.
Apply standard ranking formula
The formula to calculate the total number of students in a single line is (Rank from Top + Rank from Bottom - 1). Calculation: 9 + 21 - 1 = 30 - 1 = 29.
B: Incorrectly adds ranks without subtracting the duplicate count. C: Incorrectly adds 1, perhaps confusing it with the 'between' formula. D: Incorrectly subtracts 2, ignoring the standard inclusive count.
A is correct because applying the formula Total = (Rank1 + Rank2 - 1) gives 9 + 21 - 1 = 29.
When a person's rank from both ends is provided, always remember they occupy one physical spot, hence subtracting 1 is mandatory to avoid double counting.
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