Jaslyn's allowance is 20% less than Natalie's allowance and 45% less than Nora's allowance. If Natalie's allowance is $500 less than that of Nora's allowance,
- Find Natalie's allowance.
- Given that Natalie received a 10% allowance cut, find her new allowance.
(a)
100% - 20% = 80%
80% =
80100 =
45 100% - 45% = 55%
55% =
55100 =
1120
| Jaslyn |
Natalie |
Nora |
| 4x11 |
5x11 |
|
| 11x4 |
|
20x4 |
| 44 u |
55 u |
80 u |
Jaslyn's allowance is the repeated identity. Make Jaslyn's salary the same. LCM of 4 and 11 is 44.
Amount that Natalie's allowance is less than Nora's salary
= 80 u - 55 u
= 25 u
25 u = 500
1 u = 500 ÷ 25 = 20
Natalie's allowance
= 55 u
= 55 x 20
= $1100
(b)
Percentage of Natalie's allowance after 10% allowance cut
= 100% - 10%
= 90%
Natalie's new allowance
= 90% x 1100
=
90100 x 1100
= $990
Answer(s): (a) $1100; (b) $990
