Hilda's salary is 10% less than Cathy's salary. When their salaries are increased by 50%, their combined salaries will be $12540. How much was Cathy's salary before the increase?
| |
Hilda |
Cathy |
Total |
| Before |
9 u |
10 u |
19 u |
| Change |
+ ? |
+ ? |
+ 9.5 u |
| After |
? |
? |
28.5 u
$$(n11040 |
100% - 10% = 90%
HildaCathy =
90100 =
910 Combined salaries at first
= 9 u + 10 u
= 19 u
Increase in the combined salaries
= 50% x 19 u
=
50100 x 19 u
= 9.5 u
Combined salaries in the end
= 19 u + 9.5 u
= 28.5 u
28.5 u = 12540
1 u = 12540 ÷ 28.5 = 440
Cathy's salary before the increase
= 10 u
= 10 x 440
= $4400
Answer: $4400
