Zara's salary is 30% less than Raeann's salary and 35% less than Gillian's salary. If Raeann's salary is $700 less than that of Gillian's salary,
- Find Raeann's salary.
- Given that Raeann received a 30% salary cut, find her new salary.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 35% = 65%
65% =
65100 =
1320
| Zara |
Raeann |
Gillian |
| 7x13 |
10x13 |
|
| 13x7 |
|
20x7 |
| 91 u |
130 u |
140 u |
Zara's salary is the repeated identity. Make Zara's salary the same. LCM of 7 and 13 is 91.
Amount that Raeann's salary is less than Gillian's salary
= 140 u - 130 u
= 10 u
10 u = 700
1 u = 700 ÷ 10 = 70
Raeann's salary
= 130 u
= 130 x 70
= $9100
(b)
Percentage of Raeann's salary after 30% salary cut
= 100% - 30%
= 70%
Raeann's new salary
= 70% x 9100
=
70100 x 9100
= $6370
Answer(s): (a) $9100; (b) $6370
