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?

round 1 you start with x and 1/2 are eliminated

(x/2) times 1/3 for what is left after round 2.

(x/6)times 1/5 times 1/6

Do the math and then set x/? = 10

solve for x.