Problema Solution

A baker is making fudge and his receipe calls for thirty 75% cocoa chocolate squares. He looks in his cupboard to discover he only has 60% cocoa and 85% cocoa. How many of each should he use to make his fudge?

Answer provided by our tutors

let


x = number of 60% cocoa squares

y = number of 85% cocoa squares


x + y = 30


0.60x+ 0.85y = 0.75*30


by solving the above system of equations we find


x = 12 squares


y = 18 squares


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12 60% cocoa squares and 18 85% cocoa squares should be used for the fudge.