Ivory's allowance is 20% less than Xylia's allowance and 40% less than Risa's allowance. If Xylia's allowance is $450 less than that of Risa's allowance,
- Find Xylia's allowance.
- Given that Xylia received a 40% allowance cut, find her new allowance.
(a)
100% - 20% = 80%
80% =
80100 =
45 100% - 40% = 60%
60% =
60100 =
35
| Ivory |
Xylia |
Risa |
| 4x3 |
5x3 |
|
| 3x4 |
|
5x4 |
| 12 u |
15 u |
20 u |
Ivory's allowance is the repeated identity. Make Ivory's salary the same. LCM of 4 and 3 is 12.
Amount that Xylia's allowance is less than Risa's salary
= 20 u - 15 u
= 5 u
5 u = 450
1 u = 450 ÷ 5 = 90
Xylia's allowance
= 15 u
= 15 x 90
= $1350
(b)
Percentage of Xylia's allowance after 40% allowance cut
= 100% - 40%
= 60%
Xylia's new allowance
= 60% x 1350
=
60100 x 1350
= $810
Answer(s): (a) $1350; (b) $810
