Math Problem Statement
A village has enough water supply to last for 800 people for 60 days , after 12 days, 200 more people arrived. Due to a leak the daily water consumption increases by 20percent. How long will the water last now?
Solution
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Math Problem Analysis
Mathematical Concepts
Proportionality
Percentage Increase
Time and Consumption
Basic Algebra
Formulas
Daily consumption for 800 people = Total Water / 60
Remaining water after 12 days = Total Water - (12 * Daily Consumption)
New daily consumption = Old consumption * 1.2
Days remaining = Remaining Water / New Daily Consumption
Theorems
Proportionality Principle
Basic Percent Increase
Suitable Grade Level
Grades 8-10