It looks like your query is incomplete, especially regarding the number or fraction of freshmen eliminated after round 4 and the final outcome after round 5. To help you solve the problem, I’ll outline the steps based on the information you provided and what’s typically asked in such problems.
Problem Summary
- Several freshmen tried out for the school’s team in a national math quiz.
- After Round 1 , half (½) of the freshmen were eliminated.
- After Round 2 , 14 of those remaining were eliminated.
- After Round 3 , 13 of those remaining were eliminated.
- After Round 4 , some number or fraction of those remaining were eliminated (missing info).
- After Round 5 , (missing info).
How to Approach This Problem
Step 1: Define Variables
Let the total number of freshmen who tried out be xxx.
Step 2: Track the number of freshmen remaining after each round
- After Round 1: x2\frac{x}{2}2x remain (since half were eliminated).
- After Round 2: x2−14\frac{x}{2}-142x−14 remain.
- After Round 3: (x2−14)−13=x2−27\left(\frac{x}{2}-14\right)-13=\frac{x}{2}-27(2x−14)−13=2x−27 remain.
- After Round 4: You need to know how many were eliminated or the fraction eliminated to continue.
- After Round 5: You need to know the final number remaining or the number eliminated.
What to Do Next
Please provide the missing information about:
- How many freshmen were eliminated after Round 4 (number or fraction).
- What happened after Round 5 (number eliminated or remaining).
With that information, I can help you calculate the original number of freshmen or the number remaining after each round. If you want, you can also specify what the question is asking for (e.g., total number of freshmen, number remaining after a certain round, etc.). This will help me give you a precise answer!
