Problema Solution

A bottle of fruit juice contains 20% water. How much water must be added to this bottle to produce 6 L of fruit juice that is 60% water?

Answer provided by our tutors

this problem statement contains errors and/or omissions


we interpret this to be a 6L bottle that is filled with juice containing 20% water

we further interpret that the 20% mixture must be removed and replaced with pure water in order to achieve a mixture that is 60% water


let 'x' represent the amount of juice that must be removed and replaced with pure water in order that to produce 6L of juice that is 60% water


0.6 = (x + 0.2(6-x))/6

solving for 'x' we have x=3


3L must be removed from the bottle and replaced with pure water to produce a juice that is 60% water