Billy went ona 3 day hiking trip. Each day he walked 3/4 of the distance than he walked before. He walked 83.25 kilometers total in the trip. How far did billy walk on the first day.

Billy walked 36 kilometers on the first day

Step-by-step explanation:

Assume that Billy walked x kilometers in the first day

∵ Billy walked x kilometers on the first day

∵ Each day he walked of the distance than he walked before

→ That means Billy walked of x kilometers in the second day

∵ × x = 0.75x

∴ Billy walked 0.75 x kilometers on the second day

∵ Billy walked of (0.75x) kilometers on the third day

∵ × (0.75x) = 0.5625x

∴ Billy walked 0.5625 x kilometers on the third day

∵ He walked 83.25 kilometers total on the trip

→ Add the distance he walked on the 3 days and equate it by 83.25

∵ x + 0.75x + 0.5625x = 83.25

∴ 2.3125x = 82.25

→ Divide both sides by 2.3125

∴ x = 36

∴ Billy walked 36 kilometers on the first day