Marion's salary is 60% more than Fanny's salary. When their salaries are decreased by 50%, their combined salaries will be $3055. How much was Marion's salary before the decrease?
|
Marion |
Fanny |
Total |
Before |
8 u |
5 u |
13 u |
Change |
- ? |
- ? |
- 6.5 u |
After |
? |
? |
6.5 u $3055 |
100% + 60% = 160%
MarionFanny =
160100 =
85 Combined salaries at first
= 8 u + 5 u
= 13 u
Decrease in the combined salaries
= 50% x 13 u
=
50100 x 13 u
= 6.5 u
Combined salaries in the end
= 13 u + 6.5 u
= 6.5 u
6.5 u = 3055
1 u = 3055 ÷ 6.5 = 470
Marion's salary before the decrease
= 8 u
= 8 x 470
= $3760
Answer: $3760