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
Algebra.Com
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
------------------
(1) kg
(2)
---------------------------
(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
RELATED QUESTIONS
A candy company mixes a 20 percent fat-content chocolate with a 15 percent fat-content... (answered by josgarithmetic)
a candy company wants to mix a 10% fat content chocolate with a 60% fat cantent chocolate (answered by josmiceli)
A candy distributor needs to mix a 10% fat-content chocolate with a 50% fat-content... (answered by josgarithmetic,josmiceli)
Candy company needs to mix a 20% fat content chocolate with a 15% fat content chocolate... (answered by scott8148)
A candy distributor needs to mix a 20% fat-content chocolate with a 60% fat-content... (answered by justasking)
A candy distributor needs to mix a 10% fat-content chocolate with a 50% fat-content... (answered by jorel555)
a candy distributor needs to mix a 20% fat-content chocolate with 60% fat-content... (answered by richwmiller)
A candy distributor needs to mix a 20% fat-content chocolate with a 40% fat-content... (answered by josgarithmetic)
A candy company mixes a 20% fat content chocolate with a 15% fat content chocolate to... (answered by josgarithmetic)