Abi's allowance is 30% less than Roshel's allowance and 45% less than Kimberly's allowance. If Roshel's allowance is $2700 less than that of Kimberly's allowance,
- Find Roshel's allowance.
- Given that Roshel received a 20% allowance cut, find her new allowance.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 45% = 55%
55% =
55100 =
1120
| Abi |
Roshel |
Kimberly |
| 7x11 |
10x11 |
|
| 11x7 |
|
20x7 |
| 77 u |
110 u |
140 u |
Abi's allowance is the repeated identity. Make Abi's salary the same. LCM of 7 and 11 is 77.
Amount that Roshel's allowance is less than Kimberly's salary
= 140 u - 110 u
= 30 u
30 u = 2700
1 u = 2700 ÷ 30 = 90
Roshel's allowance
= 110 u
= 110 x 90
= $9900
(b)
Percentage of Roshel's allowance after 20% allowance cut
= 100% - 20%
= 80%
Roshel's new allowance
= 80% x 9900
=
80100 x 9900
= $7920
Answer(s): (a) $9900; (b) $7920
