Cindy's salary is 10% less than Winnie's salary and 45% less than Min's salary. If Winnie's salary is $6300 less than that of Min's salary,
- Find Winnie's salary.
- Given that Winnie received a 30% salary cut, find her new salary.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 45% = 55%
55% =
55100 =
1120
Cindy |
Winnie |
Min |
9x11 |
10x11 |
|
11x9 |
|
20x9 |
99 u |
110 u |
180 u |
Cindy's salary is the repeated identity. Make Cindy's salary the same. LCM of 9 and 11 is 99.
Amount that Winnie's salary is less than Min's salary
= 180 u - 110 u
= 70 u
70 u = 6300
1 u = 6300 ÷ 70 = 90
Winnie's salary
= 110 u
= 110 x 90
= $9900
(b)
Percentage of Winnie's salary after 30% salary cut
= 100% - 30%
= 70%
Winnie's new salary
= 70% x 9900
=
70100 x 9900
= $6930
Answer(s): (a) $9900; (b) $6930