Xandra's salary is 20% more than Fiona's salary. When their salaries are decreased by 50%, their combined salaries will be $1210. How much was Xandra's salary before the decrease?
| |
Xandra |
Fiona |
Total |
| Before |
6 u |
5 u |
11 u |
| Change |
- ? |
- ? |
- 5.5 u |
| After |
? |
? |
5.5 u
$1210 |
100% + 20% = 120%
XandraFiona =
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 = 1210
1 u = 1210 ÷ 5.5 = 220
Xandra's salary before the decrease
= 6 u
= 6 x 220
= $1320
Answer: $1320
