Emily's salary is 30% less than Anna's salary and 45% less than Natalie's salary. If Anna's salary is $2100 less than that of Natalie's salary,
- Find Anna's salary.
- Given that Anna received a 35% salary cut, find her new salary.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 45% = 55%
55% =
55100 =
1120
| Emily |
Anna |
Natalie |
| 7x11 |
10x11 |
|
| 11x7 |
|
20x7 |
| 77 u |
110 u |
140 u |
Emily's salary is the repeated identity. Make Emily's salary the same. LCM of 7 and 11 is 77.
Amount that Anna's salary is less than Natalie's salary
= 140 u - 110 u
= 30 u
30 u = 2100
1 u = 2100 ÷ 30 = 70
Anna's salary
= 110 u
= 110 x 70
= $7700
(b)
Percentage of Anna's salary after 35% salary cut
= 100% - 35%
= 65%
Anna's new salary
= 65% x 7700
=
65100 x 7700
= $5005
Answer(s): (a) $7700; (b) $5005
