Opal's salary is 20% less than Roshel's salary and 45% less than Tiffany's salary. If Roshel's salary is $1000 less than that of Tiffany's salary,
- Find Roshel's salary.
- Given that Roshel received a 20% salary cut, find her new salary.
(a)
100% - 20% = 80%
80% =
80100 =
45 100% - 45% = 55%
55% =
55100 =
1120
| Opal |
Roshel |
Tiffany |
| 4x11 |
5x11 |
|
| 11x4 |
|
20x4 |
| 44 u |
55 u |
80 u |
Opal's salary is the repeated identity. Make Opal's salary the same. LCM of 4 and 11 is 44.
Amount that Roshel's salary is less than Tiffany's salary
= 80 u - 55 u
= 25 u
25 u = 1000
1 u = 1000 ÷ 25 = 40
Roshel's salary
= 55 u
= 55 x 40
= $2200
(b)
Percentage of Roshel's salary after 20% salary cut
= 100% - 20%
= 80%
Roshel's new salary
= 80% x 2200
=
80100 x 2200
= $1760
Answer(s): (a) $2200; (b) $1760
