Step-by-step explanation:
If x is the kilograms of 30% chocolate, and y is the kilograms of 50% chocolate, then:
x + y = 200
0.30x + 0.50y = 0.46(200)
Solving the system of equations with substitution:
0.30x + 0.50(200 − x) = 0.46(200)
0.30x + 100 − 0.50x = 92
8 = 0.20x
x = 40
y = 200 − x
y = 160
The distributor needs 40 kg of 30% chocolate and 160 kg of 50% chocolate.
