Erika's allowance is 30% less than Jane's allowance and 45% less than Min's allowance. If Jane's allowance is $2400 less than that of Min's allowance,
- Find Jane's allowance.
- Given that Jane received a 5% allowance cut, find her new allowance.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 45% = 55%
55% =
55100 =
1120
| Erika |
Jane |
Min |
| 7x11 |
10x11 |
|
| 11x7 |
|
20x7 |
| 77 u |
110 u |
140 u |
Erika's allowance is the repeated identity. Make Erika's salary the same. LCM of 7 and 11 is 77.
Amount that Jane's allowance is less than Min's salary
= 140 u - 110 u
= 30 u
30 u = 2400
1 u = 2400 ÷ 30 = 80
Jane's allowance
= 110 u
= 110 x 80
= $8800
(b)
Percentage of Jane's allowance after 5% allowance cut
= 100% - 5%
= 95%
Jane's new allowance
= 95% x 8800
=
95100 x 8800
= $8360
Answer(s): (a) $8800; (b) $8360
