Cindy's salary is 30% less than Linda's salary and 45% less than Joelle's salary. If Linda's salary is $2400 less than that of Joelle's salary,
- Find Linda's salary.
- Given that Linda received a 15% salary cut, find her new salary.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 45% = 55%
55% =
55100 =
1120
Cindy |
Linda |
Joelle |
7x11 |
10x11 |
|
11x7 |
|
20x7 |
77 u |
110 u |
140 u |
Cindy's salary is the repeated identity. Make Cindy's salary the same. LCM of 7 and 11 is 77.
Amount that Linda's salary is less than Joelle's salary
= 140 u - 110 u
= 30 u
30 u = 2400
1 u = 2400 ÷ 30 = 80
Linda's salary
= 110 u
= 110 x 80
= $8800
(b)
Percentage of Linda's salary after 15% salary cut
= 100% - 15%
= 85%
Linda's new salary
= 85% x 8800
=
85100 x 8800
= $7480
Answer(s): (a) $8800; (b) $7480