Convert from verbal to mathematical:
A = 2B (twice as much)
B = 0.5C + C (50% more than C - must add the + C since B earned 50% more than C plus the actual amount C made)
A + B + C = $220,000
By substituting 2B for A, we obtain 2B + B + C = 220,000, then 3B + C = 220,000 --> C = 220,000 - 3B
Then, we substitute for C in B = 0.5C + C --> B = 0.5(220,000 - 3B) + 220,000 - 3B
B = 110,000 - 1.5B + 220,000 - 3B
B = 330,000 - 4.5B
5.5B = 330,000
B = $60,000.
Since the 3 made $220,000 over 3 years...then, on average, B made 60,000 / 3 = $20,000 in any year.
To check:
A = 2B = 2(60,000) = $120,000
C = 220,000 - 3B = 220,000 - 3(60,000) = 220,000 - 180,000 = $40,000
A + B + C = 220,000?
$120,000 + $60,000 + $40,000 = $220,000...Yes.