Erika's allowance is 10% less than Natalie's allowance and 35% less than Cindy's allowance. If Natalie's allowance is $1000 less than that of Cindy's allowance,
- Find Natalie's allowance.
- Given that Natalie received a 5% allowance cut, find her new allowance.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 35% = 65%
65% =
65100 =
1320
| Erika |
Natalie |
Cindy |
| 9x13 |
10x13 |
|
| 13x9 |
|
20x9 |
| 117 u |
130 u |
180 u |
Erika's allowance is the repeated identity. Make Erika's salary the same. LCM of 9 and 13 is 117.
Amount that Natalie's allowance is less than Cindy's salary
= 180 u - 130 u
= 50 u
50 u = 1000
1 u = 1000 ÷ 50 = 20
Natalie's allowance
= 130 u
= 130 x 20
= $2600
(b)
Percentage of Natalie's allowance after 5% allowance cut
= 100% - 5%
= 95%
Natalie's new allowance
= 95% x 2600
=
95100 x 2600
= $2470
Answer(s): (a) $2600; (b) $2470
