SOLUTION: A candy company wants to produce 20 kilograms of a special 45% fat content chocolate. To obtain this, a 50% fat content chocolate is combined with a 30% fat content chocolate. How
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Question 739702: A candy company wants to produce 20 kilograms of a special 45% fat content chocolate. To obtain this, a 50% fat content chocolate is combined with a 30% fat content chocolate. How many kilograms of the 50% fat content and the 30% fat content are used to make the required 20 kilograms? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = kg of 50% fat chocolate needed
Let = kg of 30% fat chocolate needed
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(1) kg
(2)
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(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
and, since
(1)
(1)
15 kg of 50% fat chocolate are needed
5 kg of 30% fat chocolate are needed
check:
(2)
(2)
You can check