Opal's salary is 10% less than Dana's salary. When their salaries are decreased by 30%, their combined salaries will be $5453. How much was Dana's salary before the decrease?
| |
Opal |
Dana |
Total |
| Before |
9 u |
10 u |
19 u |
| Change |
- ? |
- ? |
- 5.7 u |
| After |
? |
? |
13.3 u
$5453 |
100% - 10% = 90%
OpalDana =
90100 =
910 Combined salaries at first
= 9 u + 10 u
= 19 u
Decrease in the combined salaries
= 30% x 19 u
=
30100 x 19 u
= 5.7 u
Combined salaries in the end
= 19 u + 5.7 u
= 13.3 u
13.3 u = 5453
1 u = 5453 ÷ 13.3 = 410
Dana's salary before the decrease
= 10 u
= 10 x 410
= $4100
Answer: $4100
