Rachel's allowance is 20% less than Roshel's allowance and 45% less than Kathy's allowance. If Roshel's allowance is $2000 less than that of Kathy's allowance,
- Find Roshel's allowance.
- Given that Roshel received a 5% allowance cut, find her new allowance.
(a)
100% - 20% = 80%
80% =
80100 =
45 100% - 45% = 55%
55% =
55100 =
1120
| Rachel |
Roshel |
Kathy |
| 4x11 |
5x11 |
|
| 11x4 |
|
20x4 |
| 44 u |
55 u |
80 u |
Rachel's allowance is the repeated identity. Make Rachel's salary the same. LCM of 4 and 11 is 44.
Amount that Roshel's allowance is less than Kathy's salary
= 80 u - 55 u
= 25 u
25 u = 2000
1 u = 2000 ÷ 25 = 80
Roshel's allowance
= 55 u
= 55 x 80
= $4400
(b)
Percentage of Roshel's allowance after 5% allowance cut
= 100% - 5%
= 95%
Roshel's new allowance
= 95% x 4400
=
95100 x 4400
= $4180
Answer(s): (a) $4400; (b) $4180
