Jane's allowance is 30% less than Xuan's allowance and 35% less than Wendy's allowance. If Xuan's allowance is $1000 less than that of Wendy's allowance,
- Find Xuan's allowance.
- Given that Xuan received a 40% allowance cut, find her new allowance.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 35% = 65%
65% =
65100 =
1320
| Jane |
Xuan |
Wendy |
| 7x13 |
10x13 |
|
| 13x7 |
|
20x7 |
| 91 u |
130 u |
140 u |
Jane's allowance is the repeated identity. Make Jane's salary the same. LCM of 7 and 13 is 91.
Amount that Xuan's allowance is less than Wendy's salary
= 140 u - 130 u
= 10 u
10 u = 1000
1 u = 1000 ÷ 10 = 100
Xuan's allowance
= 130 u
= 130 x 100
= $13000
(b)
Percentage of Xuan's allowance after 40% allowance cut
= 100% - 40%
= 60%
Xuan's new allowance
= 60% x 13000
=
60100 x 13000
= $7800
Answer(s): (a) $13000; (b) $7800
