Cathy's salary is 20% more than Hazel's salary. When their salaries are decreased by 50%, their combined salaries will be $1320. How much was Cathy's salary before the decrease?
| |
Cathy |
Hazel |
Total |
| Before |
6 u |
5 u |
11 u |
| Change |
- ? |
- ? |
- 5.5 u |
| After |
? |
? |
5.5 u
$1320 |
100% + 20% = 120%
CathyHazel =
120100 =
65 Combined salaries at first
= 6 u + 5 u
= 11 u
Decrease in the combined salaries
= 50% x 11 u
=
50100 x 11 u
= 5.5 u
Combined salaries in the end
= 11 u + 5.5 u
= 5.5 u
5.5 u = 1320
1 u = 1320 ÷ 5.5 = 240
Cathy's salary before the decrease
= 6 u
= 6 x 240
= $1440
Answer: $1440
