Elyse's salary is 10% less than Erika's salary and 40% less than Winnie's salary. If Erika's salary is $1500 less than that of Winnie's salary,
- Find Erika's salary.
- Given that Erika received a 30% salary increment, find her new salary.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 40% = 60%
60% =
60100 =
35
| Elyse |
Erika |
Winnie |
| 9x3 |
10x3 |
|
| 3x9 |
|
5x9 |
| 27 u |
30 u |
45 u |
Elyse's salary is the repeated identity. Make Elyse's salary the same. LCM of 9 and 3 is 27.
Amount that Erika's salary is less than Winnie's salary
= 45 u - 30 u
= 15 u
15 u = 1500
1 u = 1500 ÷ 15 = 100
Erika's salary
= 30 u
= 30 x 100
= $3000
(b)
Percentage of Erika's salary after 30% salary increment
= 100% + 30%
= 130%
Erika's new salary
= 130% x 3000
=
130100 x 3000
= $3900
Answer(s): (a) $3000; (b) $3900
