Leanne climbed halfway down a cliff before resting the first time. then she climbed halfway down the remaining distance and rested for a second time. after climbing halfway down the final distance, Leanne was 4m from the bottom of the cliff, use an integer to describe leannes distance in meters from the top of the cliff.

Let the total height of the cliff be denoted as \( x \) meters.

1. Leanne climbs halfway down the cliff on her first attempt, so she is at a height of \( \frac{x}{2} \) meters from the top.
2. Then, she climbs halfway down the remaining distance, so now she is at \( \frac{\frac{x}{2}}{2} = \frac{x}{4} \) meters from the top.
3. After that, she climbs halfway down the remaining distance again, and now she is at \( \frac{\frac{x}{4}}{2} = \frac{x}{8} \) meters from the top.

At this point, we know that she is 4 meters from the bottom of the cliff. This implies:
\[
x - \frac{x}{8} = 4
\]
Now, let's solve for \( x \):

\[
x - \frac{x}{8} = 4
\]
Multiply both sides by 8 to eliminate the fraction:
\[
8x - x = 32
\]
\[
7x = 32
\]
\[
x = \frac{32}{7} \approx 4.57 \text{ meters.}
\]

Thus, the distance from the

Leanne climbed halfway down a cliff before resting the first time. Then she climbed halfway down the remaining distance and rested for a second time. After climbing halfway down the final distance, Leanne was 4m from the bottom of the cliff. Use an integer to describe Leanne's distance in meters from the top of the cliff.

Solve a real-world cliff descent problem involving fractions and linear equations. Leanne climbs halfway down a cliff three times, and the remaining distance to the bottom is 4 meters. Learn how to calculate the total height of the cliff using key algebraic concepts. Suitable for Grades 6-8.

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