Pamela's allowance is 30% less than Vanessa's allowance and 35% less than Cindy's allowance. If Vanessa's allowance is $600 less than that of Cindy's allowance,
- Find Vanessa's allowance.
- Given that Vanessa received a 40% allowance cut, find her new allowance.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 35% = 65%
65% =
65100 =
1320
| Pamela |
Vanessa |
Cindy |
| 7x13 |
10x13 |
|
| 13x7 |
|
20x7 |
| 91 u |
130 u |
140 u |
Pamela's allowance is the repeated identity. Make Pamela's salary the same. LCM of 7 and 13 is 91.
Amount that Vanessa's allowance is less than Cindy's salary
= 140 u - 130 u
= 10 u
10 u = 600
1 u = 600 ÷ 10 = 60
Vanessa's allowance
= 130 u
= 130 x 60
= $7800
(b)
Percentage of Vanessa's allowance after 40% allowance cut
= 100% - 40%
= 60%
Vanessa's new allowance
= 60% x 7800
=
60100 x 7800
= $4680
Answer(s): (a) $7800; (b) $4680
