Answer:
The person with the most water left is;
Tia
Step-by-step explanation:
The parameters given in the question are;
The volume of water Sherry and Karl both started their hike with = 1 small bottle each
The volume of water Tia started her hike with = 1/2 of a larger bottle of water
The volume of water Sherry had at the end of the hike = 1/2 of the small bottle of water
The volume of water Tia had at the end of the hike = 1/2 of the large bottle of water
The volume of water Karl had at the end of the hike = 1/3 of the small bottle of water
Let 'x' and 'y' represent the sizes of the bottles of water with Sherry and Karl respectively and let 'Z' represent the size of the bottle of water Tia started the hike with, we have;
The volume water with Tia at the end of the hike = 1/2·x
The volume water with Karl at the end of the hike = 1/2·y
The volume water with Tia at the end of the hike = 1/2·Z
Given;
Z > x
Z > y
∴ 1/2·Z > 1/2·x
1/2·Z > 1/3·y
Therefore, Tia with half of the larger bottle of water at the end of the hike, 1/2·Z has the most water left.
