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Out of 250 racers who started the marathon, 224 completed the race, 19 gave up, and 7 were disqualified. What percentage did not complete the marathon? Round your answer to the nearest tenth of a percent.

Ask by Fleming Paul. in the United States
Feb 19,2025

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10.4% of the racers did not complete the marathon.

Solución

To find the percentage of racers who did not complete the marathon, we need to consider both those who gave up and those who were disqualified. 1. **Total racers**: 250 2. **Racers who completed the race**: 224 3. **Racers who gave up**: 19 4. **Racers who were disqualified**: 7 Now, we can calculate the total number of racers who did not complete the marathon: \[ \text{Racers who did not complete} = \text{Racers who gave up} + \text{Racers who were disqualified} \] Substituting the known values: \[ \text{Racers who did not complete} = 19 + 7 = 26 \] Next, we calculate the percentage of racers who did not complete the marathon: \[ \text{Percentage not completed} = \left( \frac{\text{Racers who did not complete}}{\text{Total racers}} \right) \times 100 \] Substituting the values: \[ \text{Percentage not completed} = \left( \frac{26}{250} \right) \times 100 \] Now, let's calculate this value. \[ \text{Percentage not completed} = 0.104 \times 100 = 10.4 \] Finally, rounding to the nearest tenth of a percent, we find that: \[ \text{Percentage not completed} = 10.4\% \] Thus, the percentage of racers who did not complete the marathon is **10.4%**.

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Bonus Knowledge

To find the percentage of racers who did not complete the marathon, first, determine the total number of racers who did not finish. This includes both those who gave up and those who were disqualified: 19 (gave up) + 7 (disqualified) = 26 racers did not complete the marathon. Now, to find the percentage of racers who did not complete the race out of the total started, use the formula: (Non-completers / Total starters) × 100 = (26 / 250) × 100 = 10.4%. So, approximately 10.4% of the racers did not complete the marathon.

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