Esther's salary is 20% less than Emma's salary. When their salaries are decreased by 40%, their combined salaries will be $1458. How much was Emma's salary before the decrease?
|
Esther |
Emma |
Total |
Before |
4 u |
5 u |
9 u |
Change |
- ? |
- ? |
- 3.6 u |
After |
? |
? |
5.4 u $1458 |
100% - 20% = 80%
EstherEmma =
80100 =
45 Combined salaries at first
= 4 u + 5 u
= 9 u
Decrease in the combined salaries
= 40% x 9 u
=
40100 x 9 u
= 3.6 u
Combined salaries in the end
= 9 u + 3.6 u
= 5.4 u
5.4 u = 1458
1 u = 1458 ÷ 5.4 = 270
Emma's salary before the decrease
= 5 u
= 5 x 270
= $1350
Answer: $1350