Jane's allowance is 30% less than Jaslyn's allowance and 45% less than Abi's allowance. If Jaslyn's allowance is $2400 less than that of Abi's allowance,
- Find Jaslyn's allowance.
- Given that Jaslyn received a 40% allowance increment, find her new allowance.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 45% = 55%
55% =
55100 =
1120
| Jane |
Jaslyn |
Abi |
| 7x11 |
10x11 |
|
| 11x7 |
|
20x7 |
| 77 u |
110 u |
140 u |
Jane's allowance is the repeated identity. Make Jane's salary the same. LCM of 7 and 11 is 77.
Amount that Jaslyn's allowance is less than Abi's salary
= 140 u - 110 u
= 30 u
30 u = 2400
1 u = 2400 ÷ 30 = 80
Jaslyn's allowance
= 110 u
= 110 x 80
= $8800
(b)
Percentage of Jaslyn's allowance after 40% allowance increment
= 100% + 40%
= 140%
Jaslyn's new allowance
= 140% x 8800
=
140100 x 8800
= $12320
Answer(s): (a) $8800; (b) $12320
