SOLUTION: a candy company wants to mix a 10% fat content chocolate with a 60% fat cantent chocolate to obtain 50 pounds of a 30% fat content chocolate. how many pounds of each kind of chocol

Question 583681: a candy company wants to mix a 10% fat content chocolate with a 60% fat cantent chocolate to obtain 50 pounds of a 30% fat content chocolate. how many pounds of each kind of chocolate must be used?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of 10% fat chocolate needed
Let = pounds of 60% fat chocolate needed
given:
= pounds of fat in 10% chocolate
= pounds of fat in 60% chocolate
----------------------------------
(1)
(2)
-------------------------
(2)
(2)
(2)
Subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
30 pounds of 10% fat chocolate is needed
20 pounds of 60% fat chocolate is needed
check:
(2)
(2)
(2)
(2)
OK
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