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7th-grade-illustrative-math/unit-4-proportional-relationships-and-perc... scedule Haruka hiked several kilometers in the morning. She hiked only 6 kilometers in the afternoon, which was 25% less than she had hiked in the morning. How many kilometers did Haruka hike in all? kilometers Reportanroblem

Haruka hiked several kilometers in the morning. She hiked only 66 kilometers in the afternoon, which was 25%25\% less than she had hiked in the morning. How many kilometers did Haruka hike in all? \newline□\square kilometers

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Q. Haruka hiked several kilometers in the morning. She hiked only 66 kilometers in the afternoon, which was 25%25\% less than she had hiked in the morning. How many kilometers did Haruka hike in all? \newline□\square kilometers
  1. Define Morning Hike: Let xx be the number of kilometers Haruka hiked in the morning.\newlineIdentify the expression for 25%25\% less than the number of kilometers hiked in the morning.\newlineExpression for afternoon hike: x−25%(x)x - 25\%(x)\newline= x−0.25xx - 0.25x
  2. Calculate Afternoon Hike: We found: Expression for afternoon hike is x−0.25xx - 0.25x\newlineWe know: Value for afternoon hike is 66 kilometers\newlineSet up an equation to find xx, the number of kilometers hiked in the morning.\newlineEquation for afternoon hike is 6=x−0.25x6 = x - 0.25x.
  3. Solve for Morning Hike: We found: 6=x−0.25x6 = x - 0.25x Solve for xx. x−0.25x=6x - 0.25x = 6 x(1−0.25)=6x(1 - 0.25) = 6 0.75x=60.75x = 6 x=60.75x = \frac{6}{0.75} x=8x = 8 Haruka hiked 88 kilometers in the morning.
  4. Calculate Total Hike: Calculate the total number of kilometers hiked by Haruka.\newlineTotal hike = Morning hike + Afternoon hike\newlineTotal hike = 88 kilometers (morning) + 66 kilometers (afternoon)\newlineTotal hike = 1414 kilometers

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