Fiona's salary is 10% less than Irene's salary and 35% less than Erika's salary. If Irene's salary is $1000 less than that of Erika's salary,
- Find Irene's salary.
- Given that Irene received a 40% salary cut, find her new salary.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 35% = 65%
65% =
65100 =
1320
| Fiona |
Irene |
Erika |
| 9x13 |
10x13 |
|
| 13x9 |
|
20x9 |
| 117 u |
130 u |
180 u |
Fiona's salary is the repeated identity. Make Fiona's salary the same. LCM of 9 and 13 is 117.
Amount that Irene's salary is less than Erika's salary
= 180 u - 130 u
= 50 u
50 u = 1000
1 u = 1000 ÷ 50 = 20
Irene's salary
= 130 u
= 130 x 20
= $2600
(b)
Percentage of Irene's salary after 40% salary cut
= 100% - 40%
= 60%
Irene's new salary
= 60% x 2600
=
60100 x 2600
= $1560
Answer(s): (a) $2600; (b) $1560
