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
Q. 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
Define Morning Hike: Let x be the number of kilometers Haruka hiked in the morning.Identify the expression for 25% less than the number of kilometers hiked in the morning.Expression for afternoon hike: x−25%(x)= x−0.25x
Calculate Afternoon Hike: We found: Expression for afternoon hike is x−0.25xWe know: Value for afternoon hike is 6 kilometersSet up an equation to find x, the number of kilometers hiked in the morning.Equation for afternoon hike is 6=x−0.25x.
Solve for Morning Hike: We found: 6=x−0.25x Solve for x. x−0.25x=6x(1−0.25)=60.75x=6x=0.756x=8 Haruka hiked 8 kilometers in the morning.
Calculate Total Hike: Calculate the total number of kilometers hiked by Haruka.Total hike = Morning hike + Afternoon hikeTotal hike = 8 kilometers (morning) + 6 kilometers (afternoon)Total hike = 14 kilometers
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