Fiona's salary is 80% more than Nora's salary. When their salaries are decreased by 30%, their combined salaries will be $4900. How much was Fiona's salary before the decrease?
|
Fiona |
Nora |
Total |
Before |
9 u |
5 u |
14 u |
Change |
- ? |
- ? |
- 4.2 u |
After |
? |
? |
9.8 u $4900 |
100% + 80% = 180%
FionaNora =
180100 =
95 Combined salaries at first
= 9 u + 5 u
= 14 u
Decrease in the combined salaries
= 30% x 14 u
=
30100 x 14 u
= 4.2 u
Combined salaries in the end
= 14 u + 4.2 u
= 9.8 u
9.8 u = 4900
1 u = 4900 ÷ 9.8 = 500
Fiona's salary before the decrease
= 9 u
= 9 x 500
= $4500
Answer: $4500