Answer:
 $4125
Step-by-step explanation:
Let 'a' represent the additional income Mrs. King must earn. In order for her disposable income to remain the same, we must have ...
 (66000 +a)(1 -0.20) = 66000(1 -0.15)
 66000 +a = 66000(0.85/0.80) = 66000(1 +0.05/0.80)
 a = 66000(5/80) = 4125
Mrs King must earn $4125 more before tax to maintain her after-tax income.