2012 TJC P1 Q3

HIMHEYS' Confectionery recently created three types of chocolate: Organic white, Organic milk and Organic dark, available in \(250\) g bars. Cocoa butter, an essential ingredient in chocolate bars, makes up \(25\%\), \(20\%\) and \(15\%\) of the mass of an Organic white, Organic milk and Organic dark chocolate bar respectively.

To prepare for the official launch of their chocolate bars at an upcoming Food Expo, HIMHEYS' decides to manufacture a total of \(300\) bars for the event, with more than \(70\) bars of each type.

The confectionary intends to use \(14\) kg of cocoa butter in the production of the above batch of chocolate bars. If the number of milk chocolate bars is to be smaller than the number of white chocolate bars, determine how many organic chocolate bars of each type can be produced.[6]