SOLUTION: A candy company mixes a 20% fat content chocolate with a 15% fat content chocolate to obtain 50 pounds of a 16% fat content chocolate. How many pounds of each type of chocolate sho

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Question 768935: A candy company mixes a 20% fat content chocolate with a 15% fat content chocolate to obtain 50 pounds of a 16% fat content chocolate. How many pounds of each type of chocolate should be used? ( write 2 equation s and solve this system of equations)
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
More generally, a candy company mixes v pounds of H% fat content chocolate with u pounds of L% fat content chocolate to obtain M pounds of a T% fat content chocolate. How many pounds of each type of chocolate should be used?

The equations to that system are:
and

You could try this way,


and substitute this into the mass sum equation.






...and you continue from there for getting v and later substituting values...

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