Barbara's allowance is 20% less than Jaslyn's allowance and 40% less than Fanny's allowance. If Jaslyn's allowance is $400 less than that of Fanny's allowance,
- Find Jaslyn's allowance.
- Given that Jaslyn received a 35% allowance increment, find her new allowance.
(a)
100% - 20% = 80%
80% =
80100 =
45 100% - 40% = 60%
60% =
60100 =
35
| Barbara |
Jaslyn |
Fanny |
| 4x3 |
5x3 |
|
| 3x4 |
|
5x4 |
| 12 u |
15 u |
20 u |
Barbara's allowance is the repeated identity. Make Barbara's salary the same. LCM of 4 and 3 is 12.
Amount that Jaslyn's allowance is less than Fanny's salary
= 20 u - 15 u
= 5 u
5 u = 400
1 u = 400 ÷ 5 = 80
Jaslyn's allowance
= 15 u
= 15 x 80
= $1200
(b)
Percentage of Jaslyn's allowance after 35% allowance increment
= 100% + 35%
= 135%
Jaslyn's new allowance
= 135% x 1200
=
135100 x 1200
= $1620
Answer(s): (a) $1200; (b) $1620
