Natalie's salary is 10% less than Cathy's salary and 45% less than Sabrina's salary. If Cathy's salary is $2800 less than that of Sabrina's salary,
- Find Cathy's salary.
- Given that Cathy received a 20% salary cut, find her new salary.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 45% = 55%
55% =
55100 =
1120
| Natalie |
Cathy |
Sabrina |
| 9x11 |
10x11 |
|
| 11x9 |
|
20x9 |
| 99 u |
110 u |
180 u |
Natalie's salary is the repeated identity. Make Natalie's salary the same. LCM of 9 and 11 is 99.
Amount that Cathy's salary is less than Sabrina's salary
= 180 u - 110 u
= 70 u
70 u = 2800
1 u = 2800 ÷ 70 = 40
Cathy's salary
= 110 u
= 110 x 40
= $4400
(b)
Percentage of Cathy's salary after 20% salary cut
= 100% - 20%
= 80%
Cathy's new salary
= 80% x 4400
=
80100 x 4400
= $3520
Answer(s): (a) $4400; (b) $3520
