math
posted by shirley on .
several freshmen tried out for the school track team.
after round 1, 1/2 of the freshmen were eliminated. After round 2, 1/3 of those remaining were eliminated. After round 3, 1/4 of those remaining were eliminated. After round 4, 1/5 of those remaining were eliminated. After round 5, 1/6 of those remaining were eliminated. The 10 freshmen who remained made it onto the track team. How many freshmen originally tried out?
the answer is 60. How do I set this up to get my answer.

x = the number you start with
after round 1: you have x/2
1/3 of those are eliminated which means 2/3 remain
Multiply x/2 times 2/3 = x/3
Next round 1/4 are eliminated which means that 3/4 remain.
3/4 times x/3 = x/4
Can you finish from here with rounds 5 and 6
it should end with x/6 = 10 so x would = 60
Set that final answer = 10