Question
Out of 210 racers who started the marathon, 190 completed the race, 13 gave up, and 7 were disqualified before finishing. What percentage did not complete the marathon? Give your answer accurate to at least 1 decimal place.
Ask by Beck Smith. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Approximately 9.5% of the racers did not complete the marathon.
Solution
To determine the percentage of racers who did not complete the marathon, follow these steps:
1. **Total Racers Started:** 210
2. **Racers Who Completed:** 190
3. **Racers Who Did Not Complete:** 210 - 190 = 20
4. **Calculate the Percentage:**
\[
\text{Percentage} = \left(\frac{\text{Did Not Complete}}{\text{Total Started}}\right) \times 100 = \left(\frac{20}{210}\right) \times 100
\]
\[
\text{Percentage} \approx 9.5238\%
\]
5. **Round to One Decimal Place:**
\[
\text{Percentage} \approx 9.5\%
\]
**Answer:** Approximately 9.5 % of the racers did not complete the marathon.
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Simplify this solution Bonus Knowledge
To find the percentage of racers who did not complete the marathon, we first determine the number of racers who did not finish. This includes those who gave up and those who were disqualified. Total racers who did not complete = 13 (gave up) + 7 (disqualified) = 20. Now, we will calculate the percentage of racers who did not complete the marathon out of the total number of racers that started: Percentage = (Number of non-finishers / Total number of racers) × 100 Percentage = (20 / 210) × 100 ≈ 9.5%. So, approximately 9.5% of the racers did not complete the marathon.
