Higher Order Thinking Lemmy walked \( \frac{7}{2} \) miles on Saturday and \( \frac{19}{4} \) miles on Sunday. Peyton walked \( \frac{43}{8} \) miles on Saturday. Who walked farther? How much farther?

To determine who walked farther and by how much, let's calculate the total miles each person walked. ### Lemmy's Total Walking Distance: Lemmy walked on two days: - **Saturday:** \( \frac{7}{2} \) miles - **Sunday:** \( \frac{19}{4} \) miles **Total Distance:** \[ \frac{7}{2} + \frac{19}{4} = \frac{14}{4} + \frac{19}{4} = \frac{33}{4} = 8.25 \text{ miles} \] ### Peyton's Total Walking Distance: Peyton walked only on Saturday: - **Saturday:** \( \frac{43}{8} \) miles **Total Distance:** \[ \frac{43}{8} = 5.375 \text{ miles} \] ### Comparing Distances: - **Lemmy:** 8.25 miles - **Peyton:** 5.375 miles **Difference:** \[ 8.25 - 5.375 = 2.875 \text{ miles} \] \[ 2.875 \text{ miles} = 2 \frac{7}{8} \text{ miles} \] ### **Conclusion:** **Lemmy walked farther than Peyton by \( 2 \frac{7}{8} \) miles.**