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Rudy recently played 378378 consecutive games of soccer. That is 35%35\% longer than his previous record for consecutive games. How many games was that?\newline_____\_\_\_\_\_ consecutive games

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Full solution

Q. Rudy recently played 378378 consecutive games of soccer. That is 35%35\% longer than his previous record for consecutive games. How many games was that?\newline_____\_\_\_\_\_ consecutive games
  1. Understand and set up equation: Step 11: Understand the problem and set up the equation.\newlineRudy played 378378 games, which is 35%35\% longer than his previous record. We need to find the original number of games (let's call it xx).\newlineEquation: x+0.35x=378x + 0.35x = 378
  2. Simplify the equation: Step 22: Simplify the equation.\newlineCombine like terms on the left side of the equation:\newline1x+0.35x=1.35x1x + 0.35x = 1.35x\newlineSo, 1.35x=3781.35x = 378
  3. Solve for x: Step 33: Solve for x.\newlineDivide both sides of the equation by 1.351.35 to isolate xx:\newlinex=3781.35x = \frac{378}{1.35}\newlinex=280x = 280

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