Abi's salary is 20% less than Betty's salary. When their salaries are decreased by 10%, their combined salaries will be $2106. How much was Betty's salary before the decrease?
| |
Abi |
Betty |
Total |
| Before |
4 u |
5 u |
9 u |
| Change |
- ? |
- ? |
- 0.9 u |
| After |
? |
? |
8.1 u
$2106 |
100% - 20% = 80%
AbiBetty =
80100 =
45 Combined salaries at first
= 4 u + 5 u
= 9 u
Decrease in the combined salaries
= 10% x 9 u
=
10100 x 9 u
= 0.9 u
Combined salaries in the end
= 9 u + 0.9 u
= 8.1 u
8.1 u = 2106
1 u = 2106 ÷ 8.1 = 260
Betty's salary before the decrease
= 5 u
= 5 x 260
= $1300
Answer: $1300
