Answer:
Family a got 120kg, b got 240 kg and c got 120 kg
Step-by-step explanation:
Given that 480kg of rice is shared by families a, b, c. let these alphabets represent the amount received by each family.
a + b + c = 480
Given that B receives twice as much as a, c receives half of b then,
b = 2a and
c = 1/2 b = b/2
from b = 2a,
a = b/2
substituting into the first equation
b/2 + b + b/2 = 480
b + b = 480
2b = 480
b = 480/2
= 240 kg
a = c = b/2
hence a = c = 240/2 = 120kg