SOLUTION: A candy distributor needs to mix a 10% fat-content chocolate with a 60% fat-content chocolate to create 200 kilograms of a 12.5% fat-content chocolate. How many kilograms of each k
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Question 791474: A candy distributor needs to mix a 10% fat-content chocolate with a 60% fat-content chocolate to create 200 kilograms of a 12.5% fat-content chocolate. How many kilograms of each kind of chocolate must they use?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
This is a mixture problem.
First, assign variables to everything:
H = 60% fat
T = 12.5% fat
L = 10% fat
M = 200 kilograms
u = unknown amount of the 10% fat candy
v = unknown amount of the 60% fat candy
Form the equations to describe the system:
and
Solve the system for u and v.
.
Substitute.
--------just watch the signs carefully.
And conclude for the other quantity,
Now just substitute given values to find values of u and v.
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