Penelope's salary is 10% less than Emma's salary and 45% less than Tina's salary. If Emma's salary is $5600 less than that of Tina's salary,
- Find Emma's salary.
- Given that Emma received a 5% salary cut, find her new salary.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 45% = 55%
55% =
55100 =
1120
| Penelope |
Emma |
Tina |
| 9x11 |
10x11 |
|
| 11x9 |
|
20x9 |
| 99 u |
110 u |
180 u |
Penelope's salary is the repeated identity. Make Penelope's salary the same. LCM of 9 and 11 is 99.
Amount that Emma's salary is less than Tina's salary
= 180 u - 110 u
= 70 u
70 u = 5600
1 u = 5600 ÷ 70 = 80
Emma's salary
= 110 u
= 110 x 80
= $8800
(b)
Percentage of Emma's salary after 5% salary cut
= 100% - 5%
= 95%
Emma's new salary
= 95% x 8800
=
95100 x 8800
= $8360
Answer(s): (a) $8800; (b) $8360
