Fiona's salary is 50% less than Jane's salary. When their salaries are decreased by 30%, their combined salaries will be $420. How much was Jane's salary before the decrease?
| |
Fiona |
Jane |
Total |
| Before |
1 u |
2 u |
3 u |
| Change |
- ? |
- ? |
- 0.9 u |
| After |
? |
? |
2.1 u
$420 |
100% - 50% = 50%
FionaJane =
50100 =
12 Combined salaries at first
= 1 u + 2 u
= 3 u
Decrease in the combined salaries
= 30% x 3 u
=
30100 x 3 u
= 0.9 u
Combined salaries in the end
= 3 u + 0.9 u
= 2.1 u
2.1 u = 420
1 u = 420 ÷ 2.1 = 200
Jane's salary before the decrease
= 2 u
= 2 x 200
= $400
Answer: $400
