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

Question

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

Bytelearn · Accepted Answer

Identify Morning Hike Expression: Let x be the number of kilometers Haruka hiked in the morning. Identify the expression for 25% less than the distance she hiked in the morning. Expression for afternoon hike: x - 25%(x) = x - 0.25xSet Up Equation for Afternoon Hike: We found: Expression for afternoon hike is x - 0.25x We know: Value for afternoon hike is 6 kilometers Set up an equation to find x, the distance hiked in the morning. Equation for afternoon hike is 6 = x - 0.25x.Solve for Morning Hike Distance: We found: 6 = x - 0.25x Solve for x. x - 0.25x = 6 x(1 - 0.25) = 6 0.75x = 6 x = 6 / 0.75 x = 8 Haruka hiked 8 kilometers in the morning.Calculate Total Distance Hiked: Calculate the total distance hiked by Haruka. Total distance hiked = Distance hiked in the morning + Distance hiked in the afternoon Total distance hiked = 8 kilometers (morning) + 6 kilometers (afternoon) Total distance hiked = 14 kilometers

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. $\newline$ How many kilometers did Haruka hike in all? $\newline$ kilometers

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Haruka hiked several kilometers in the morning. She hiked only 666 kilometers in the afternoon, which was 25% 25 \% 25% less than she had hiked in the morning.\newlineHow many kilometers did Haruka hike in all?\newlinekilometers

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. $\newline$ How many kilometers did Haruka hike in all? $\newline$ kilometers