Question

Three families, a, b, & c share 480 kg of rice. B receives twice as much as a, c receives half of b. How much rice does each family get?

Answer 1

Family a got 120kg, b got 240 kg and c got 120 kg

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