Answer: 22 dollars
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Step-by-step explanation
Let x be some positive real number.
The ratio 2:3:6 scales up to 2x:3x:6x
- Person A gets 2x dollars
- Person B gets 3x dollars
- Person C gets 6x dollars.
The total sum must be $121
A+B+C = 121
2x+3x+6x = 121
11x = 121
x = 121/11
x = 11
Then,
- A = 2x = 2*11 = 22 dollars is the smallest share
- B = 3x = 3*11 = 33 dollars
- C = 6x = 6*11 = 66 dollars
Check:
A+B+C = 22+33+66 = 121
The answer is confirmed.