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This year, 6,6126,612 athletes runners crossed the finish line at the Dayton Marathon. According to the organizers' records, that is 5%5\% lower than last year. How many runners finished the marathon last year?\newline____ athletes

Full solution

Q. This year, 6,6126,612 athletes runners crossed the finish line at the Dayton Marathon. According to the organizers' records, that is 5%5\% lower than last year. How many runners finished the marathon last year?\newline____ athletes
  1. Understand the problem: Step 11: Understand the problem and set up the equation.\newlineWe know that this year's number of runners is 5%5\% less than last year's. Let's denote last year's number of runners as xx. The equation is:\newline0.95x=66120.95x = 6612
  2. Set up the equation: Step 22: Solve for xx.\newlineDivide both sides by 0.950.95 to isolate xx:\newlinex=66120.95x = \frac{6612}{0.95}\newlinex=6960x = 6960

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