Dana's salary is 10% more than Gem's salary. When their salaries are decreased by 30%, their combined salaries will be $5586. How much was Dana's salary before the decrease?
| |
Dana |
Gem |
Total |
| Before |
11 u |
10 u |
21 u |
| Change |
- ? |
- ? |
- 6.3 u |
| After |
? |
? |
14.7 u
$5586 |
100% + 10% = 110%
DanaGem =
110100 =
1110 Combined salaries at first
= 11 u + 10 u
= 21 u
Decrease in the combined salaries
= 30% x 21 u
=
30100 x 21 u
= 6.3 u
Combined salaries in the end
= 21 u + 6.3 u
= 14.7 u
14.7 u = 5586
1 u = 5586 ÷ 14.7 = 380
Dana's salary before the decrease
= 11 u
= 11 x 380
= $4180
Answer: $4180
