Proper sharing

There are three persons A, B, and C meet on a cold night, and lit fire to keep themselves warm. 'A' brings 3 wooden blocks, 'B' brings 5 and 'C' does not contribute any. They sit by the fire whole night and in the morning, 'C' pays them $8. Now 'A' and 'B' have to share the money between themselves. How will these eight dollars be distributed in a fair and just way?

Answer:

The right answer is A must have $1 and B $7.
Explanation: Total wooden blocks consumed = 8 Numbers. each share = 8/3= 2.66. Contribution by A = 3-2.66 = 0.34. Contribution by B = 5-2.66 = 2.34. Because out of their contribution, they have also used 2.66 units. Since 2.34 is approximately 7 times 0.34, the amount given by C should be divided in the ratio 1:7 as A:B. Q.E.D.