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In a recent marathon, 70 percent of thos...

In a recent marathon, 70 percent of those who entered the race reached the finish line. If 720 did not reach the finish line, how many people entered the race?

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To solve the problem step by step, we can follow these instructions: ### Step 1: Understand the problem We know that 70% of the participants reached the finish line, which implies that 30% did not reach the finish line. We are also given that 720 people did not reach the finish line. ### Step 2: Set up the equation Let \( X \) be the total number of people who entered the race. Since 30% of the participants did not finish, we can express this as: \[ 0.30X = 720 \] ### Step 3: Solve for \( X \) To find \( X \), we can rearrange the equation: \[ X = \frac{720}{0.30} \] ### Step 4: Calculate the value of \( X \) Now, we can perform the division: \[ X = \frac{720}{0.30} = 720 \times \frac{100}{30} = 720 \times \frac{10}{3} = 2400 \] ### Step 5: Conclusion Thus, the total number of people who entered the marathon is: \[ \boxed{2400} \]
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