SOLUTION: A candy maker is making truffles using a mixture of a melted dark chocolate that is 72% cocoa and milk chocolate that is 42% cocoa. If she wants 6 pounds of melted chocolate that i
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Question 1152477: A candy maker is making truffles using a mixture of a melted dark chocolate that is 72% cocoa and milk chocolate that is 42% cocoa. If she wants 6 pounds of melted chocolate that is 52% cocoa, how much of each type of chocolate does she need? Answer by ikleyn(52788) (Show Source):
x pounds of the 72% cocoa chocolate and the rest, (6-x) pounds of the 42% milk chocolate.
The balance equation for the cocoa is
0.72x + 0.42*(6-x) = 0.52*6
From the equation, express x and calculate
x = = 2.
ANSWER. 2 pounds of the 72% cocoa chocolate and the rest, 6-2 = 4 pounds of the 42% cocoa chocolate.
CHECK. 0.72*2 + 0.42*4 = 3.12 pounds of cocoa in the ingredients, and
0.52*6 = 3.12 pounds of cocoa in the resulting mixture - the same mass of cocoa. ! Precisely correct !
Solved.
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It is a standard and typical mixture word problem.
You will find there ALL TYPICAL mixture problems with different methods of solutions,
explained at different levels of detalization, from very detailed to very short.
A convenient place to quickly observe these lessons from a "bird flight height" (a top view) is the last lesson in the list.
Read them and become an expert in solution mixture word problems.
