Cathy's salary is 70% less than Penelope's salary. When their salaries are decreased by 20%, their combined salaries will be $5096. How much was Penelope's salary before the decrease?
| |
Cathy |
Penelope |
Total |
| Before |
3 u |
10 u |
13 u |
| Change |
- ? |
- ? |
- 2.6 u |
| After |
? |
? |
10.4 u
$5096 |
100% - 70% = 30%
CathyPenelope =
30100 =
310 Combined salaries at first
= 3 u + 10 u
= 13 u
Decrease in the combined salaries
= 20% x 13 u
=
20100 x 13 u
= 2.6 u
Combined salaries in the end
= 13 u + 2.6 u
= 10.4 u
10.4 u = 5096
1 u = 5096 ÷ 10.4 = 490
Penelope's salary before the decrease
= 10 u
= 10 x 490
= $4900
Answer: $4900
