At Roosevelt high school there are 600 students in the senior class. A fifth of the students are in the marching band. Of the students in the marching band, half of them play a brass instrument. Of the students that play a brass instrument, a fifth of them play the saxophone. Of the students that play the saxophone, a third of them play the alto saxophone. How many students play the alto saxophone?
Thoughts? Step-by-step reasoning:
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The number of students in the marching band is 600 / 5 = 120 students. The number of students that play a brass instrument is 120 / 2 = 60 students. The number of students that play the saxophone is 60 / 5 = 12 students. The number of students that play the alto saxophone is 12 / 3 = 4 students.
Thus, the answer is 4.
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