Fanny's salary is 50% less than Cathy's salary. When their salaries are increased by 10%, their combined salaries will be $1386. How much was Cathy's salary before the increase?
| |
Fanny |
Cathy |
Total |
| Before |
1 u |
2 u |
3 u |
| Change |
+ ? |
+ ? |
+ 0.3 u |
| After |
? |
? |
3.3 u
$$(n11040 |
100% - 50% = 50%
FannyCathy =
50100 =
12 Combined salaries at first
= 1 u + 2 u
= 3 u
Increase in the combined salaries
= 10% x 3 u
=
10100 x 3 u
= 0.3 u
Combined salaries in the end
= 3 u + 0.3 u
= 3.3 u
3.3 u = 1386
1 u = 1386 ÷ 3.3 = 420
Cathy's salary before the increase
= 2 u
= 2 x 420
= $840
Answer: $840
