A man invested half of his money at 5%, one-third of his money at 4%, and the rest of his money at 5.5%. If his total investment income was $570, how much had he invested?

Question

and please show me the solution to solve this problem. thanx
sorry bobpursly I cant understand your solution how can i compute this?

Answer 1

1/2 + 1/3 = 5/6, so

.05 * x/2 + .04 * x/3 + .055 * x/6 = 570

multiply by 6 to clear fractions:

.05 * x * 3 + .04 * x * 2 + .055 * x = 6*570

.15x + .08x + .055x = 3420
.285x = 3420
x = 12000

.05 * 6000 = 300
.04 * 4000 = 160
.055 * 2000 = 110
Total: 570