Emily's salary is 30% less than Esther's salary and 35% less than Lucy's salary. If Esther's salary is $900 less than that of Lucy's salary,
- Find Esther's salary.
- Given that Esther received a 10% salary cut, find her new salary.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 35% = 65%
65% =
65100 =
1320
| Emily |
Esther |
Lucy |
| 7x13 |
10x13 |
|
| 13x7 |
|
20x7 |
| 91 u |
130 u |
140 u |
Emily's salary is the repeated identity. Make Emily's salary the same. LCM of 7 and 13 is 91.
Amount that Esther's salary is less than Lucy's salary
= 140 u - 130 u
= 10 u
10 u = 900
1 u = 900 ÷ 10 = 90
Esther's salary
= 130 u
= 130 x 90
= $11700
(b)
Percentage of Esther's salary after 10% salary cut
= 100% - 10%
= 90%
Esther's new salary
= 90% x 11700
=
90100 x 11700
= $10530
Answer(s): (a) $11700; (b) $10530
