Sarah's salary is 50% less than Hilda's salary. When their salaries are decreased by 30%, their combined salaries will be $798. How much was Hilda's salary before the decrease?
| |
Sarah |
Hilda |
Total |
| Before |
1 u |
2 u |
3 u |
| Change |
- ? |
- ? |
- 0.9 u |
| After |
? |
? |
2.1 u
$798 |
100% - 50% = 50%
SarahHilda =
50100 =
12 Combined salaries at first
= 1 u + 2 u
= 3 u
Decrease in the combined salaries
= 30% x 3 u
=
30100 x 3 u
= 0.9 u
Combined salaries in the end
= 3 u + 0.9 u
= 2.1 u
2.1 u = 798
1 u = 798 ÷ 2.1 = 380
Hilda's salary before the decrease
= 2 u
= 2 x 380
= $760
Answer: $760
