math

posted by .

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.

  • math -

    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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    say you have 4/13 and the decimal equivalent to it is 30.76923 how do I round 3 decimal places?
  2. Physics

    A merry-go-round in the park has a radius of 1.8 m and a rotational inertia of 900 kgm^2. A child pushes the merry-go-round with a constant force of 80 N applied at the edge and parallel to the edge. A frictional torque of 12 Nm acts …
  3. math

    In a large city league, the boys' baseball teams hold a tournament. If there are 40 teams in the league and half of the teams are eliminated in each round of games, how many teams are left after 3 rounds?
  4. Physics

    A merry-go-round with r = 4m and a perfect frictionless bearing is pushed with a force of 24 N by a young girl. She pushes with a constant force that is oriented tangentially to the edge of the merry-go-round. After she pushes the …
  5. algebra

    The NCAA Division I Basketball Tournament begins each year with 64 teams. After each round, a team is eliminated, reducing the number of teams by half. Write an equation to model this scenario.
  6. math

    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, …
  7. Urgent math

    population growth model. Can anybody please help me out in trying to solve this problem?
  8. Algebra ASAP

    The half-life of krypton-91 ^(91Kr) is 10 seconds. At time t = 0 a heavy canister contains 6 g of this radioactive gas. (a) Find a function m(t) = m02^−t/h that models the amount of ^(91)Kr remaining in the canister after t seconds. …
  9. math

    5. Cesium-137 is a radioactive isotope. The following formula represents the remaining amount of a 300 gram sample of cesium-137 in a storage tank after t years: N(t)=300e−0.02297t A) Determine the remaining amount of cesium-137 …
  10. ALGEBRA 1 HELP

    Henry is taking a medicine for a common cold. The table below shows the amount of medicine f(t), in mg, that was present in Henry's body after time t: t (hours) 1 2 3 4 5 f(t) (mg) 282 265.08 249.18 234.22 220.17 Greg was administered …

More Similar Questions