Kathy's salary is 30% less than Esther's salary. When their salaries are increased by 50%, their combined salaries will be $10455. How much was Esther's salary before the increase?
| |
Kathy |
Esther |
Total |
| Before |
7 u |
10 u |
17 u |
| Change |
+ ? |
+ ? |
+ 8.5 u |
| After |
? |
? |
25.5 u
$$(n11040 |
100% - 30% = 70%
KathyEsther =
70100 =
710 Combined salaries at first
= 7 u + 10 u
= 17 u
Increase in the combined salaries
= 50% x 17 u
=
50100 x 17 u
= 8.5 u
Combined salaries in the end
= 17 u + 8.5 u
= 25.5 u
25.5 u = 10455
1 u = 10455 ÷ 25.5 = 410
Esther's salary before the increase
= 10 u
= 10 x 410
= $4100
Answer: $4100
