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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

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.\newlineHow many kilometers did Haruka hike in all?\newlinekilometers

Full solution

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.\newlineHow many kilometers did Haruka hike in all?\newlinekilometers
  1. Identify Morning Hike Expression: Let xx be the number of kilometers Haruka hiked in the morning.\newlineIdentify the expression for 25%25\% less than the distance she hiked in the morning.\newlineExpression for afternoon hike: x25%(x)x - 25\%(x)\newline= x0.25xx - 0.25x
  2. Set Up Equation for Afternoon Hike: We found: Expression for afternoon hike is x0.25xx - 0.25x\newlineWe know: Value for afternoon hike is 66 kilometers\newlineSet up an equation to find xx, the distance hiked in the morning.\newlineEquation for afternoon hike is 6=x0.25x6 = x - 0.25x.
  3. Solve for Morning Hike Distance: We found: 6=x0.25x6 = x - 0.25x Solve for xx. x0.25x=6x - 0.25x = 6 x(10.25)=6x(1 - 0.25) = 6 0.75x=60.75x = 6 x=6/0.75x = 6 / 0.75 x=8x = 8 Haruka hiked 88 kilometers in the morning.
  4. Calculate Total Distance Hiked: Calculate the total distance hiked by Haruka.\newlineTotal distance hiked = Distance hiked in the morning + Distance hiked in the afternoon\newlineTotal distance hiked = 88 kilometers (morning) + 66 kilometers (afternoon)\newlineTotal distance hiked = 1414 kilometers