Roshel's allowance is 30% less than Tiffany's allowance and 40% less than Xandra's allowance. If Tiffany's allowance is $300 less than that of Xandra's allowance,
- Find Tiffany's allowance.
- Given that Tiffany received a 5% allowance increment, find her new allowance.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 40% = 60%
60% =
60100 =
35
| Roshel |
Tiffany |
Xandra |
| 7x3 |
10x3 |
|
| 3x7 |
|
5x7 |
| 21 u |
30 u |
35 u |
Roshel's allowance is the repeated identity. Make Roshel's salary the same. LCM of 7 and 3 is 21.
Amount that Tiffany's allowance is less than Xandra's salary
= 35 u - 30 u
= 5 u
5 u = 300
1 u = 300 ÷ 5 = 60
Tiffany's allowance
= 30 u
= 30 x 60
= $1800
(b)
Percentage of Tiffany's allowance after 5% allowance increment
= 100% + 5%
= 105%
Tiffany's new allowance
= 105% x 1800
=
105100 x 1800
= $1890
Answer(s): (a) $1800; (b) $1890
