Final answer:
The money is distributed among A, B, and C in the ratio of 4:3:2, where A gets double of C and B gets the average of A and C.
Step-by-step explanation:
We need to find the ratio in which money is distributed among A, B, and C where A gets double of C, and B gets the average of A and C. Let's assume C gets x amount.
Then A gets 2x since A gets double of C. For B, which gets the average of A and C, we calculate B's share as (A+C)/2 which is (2x+x)/2 equaling to 1.5x.
So, the ratio of A to B to C in terms of x is 2x:1.5x:x.
We can simplify this by dividing all terms by the smallest amount, which is x, giving us a simple ratio of 2:1.5:1.
To get rid of the decimal, we multiply each term by 2 to get a whole number ratio.
Therefore, the final ratio of the distribution of money among A, B, and C is 4:3:2.