Stacey noted that she is both the 12th tallest and the 12th shortest student in her class. If everyone in the class is of a different height, how many students are in the class? (A) 22 (B) 23 (C) 24 (D) 25 (E) 34

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Choice B Level of Difficulty E M H This problem can best be described as a number line problem, where you would mentally line up all the students in order of increasing height and ask yourself how many students are shorter if Stacey is the 12th tallest? The answer would be 11 students. Now ask yourself how many students are taller if Stacey is the 12th shortest? The answer would again be 11 students. Since there are 22 students in the class besides Stacey, there must be 23 students altogether, or choice B.

For more practice with number line problems, go to Skill Set 16: Number Lines. Our SAT tutors can help you become very proficient with all types of math SAT questions.

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