Diana's salary is 40% less than Gwen's salary. When their salaries are decreased by 10%, their combined salaries will be $3024. How much was Gwen's salary before the decrease?
|
Diana |
Gwen |
Total |
Before |
3 u |
5 u |
8 u |
Change |
- ? |
- ? |
- 0.8 u |
After |
? |
? |
7.2 u $3024 |
100% - 40% = 60%
DianaGwen =
60100 =
35 Combined salaries at first
= 3 u + 5 u
= 8 u
Decrease in the combined salaries
= 10% x 8 u
=
10100 x 8 u
= 0.8 u
Combined salaries in the end
= 8 u + 0.8 u
= 7.2 u
7.2 u = 3024
1 u = 3024 ÷ 7.2 = 420
Gwen's salary before the decrease
= 5 u
= 5 x 420
= $2100
Answer: $2100