Answer:
120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.
Step-by-step explanation:
We are given that a candy distributor needs to mix a 30% fat-content chocolate with a 40% fat-content chocolate to create 150 kilograms of a 32% fat-content chocolate.
Let the amount of 30% fat-content chocolate be 'x' and the amount of 40% fat-content chocolate be 'y'.
So, according to the question;
x + y = 150 ------------ [equation 1]
and
x = 120 kg
Now, putting the value of x in equation 1, we get;
x + y = 150
120 + y = 150
y = 30 kg
Hence, 120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.