Jane's allowance is 20% less than Jade's allowance and 35% less than Kathy's allowance. If Jade's allowance is $1500 less than that of Kathy's allowance,
- Find Jade's allowance.
- Given that Jade received a 30% allowance increment, find her new allowance.
(a)
100% - 20% = 80%
80% =
80100 =
45 100% - 35% = 65%
65% =
65100 =
1320
| Jane |
Jade |
Kathy |
| 4x13 |
5x13 |
|
| 13x4 |
|
20x4 |
| 52 u |
65 u |
80 u |
Jane's allowance is the repeated identity. Make Jane's salary the same. LCM of 4 and 13 is 52.
Amount that Jade's allowance is less than Kathy's salary
= 80 u - 65 u
= 15 u
15 u = 1500
1 u = 1500 ÷ 15 = 100
Jade's allowance
= 65 u
= 65 x 100
= $6500
(b)
Percentage of Jade's allowance after 30% allowance increment
= 100% + 30%
= 130%
Jade's new allowance
= 130% x 6500
=
130100 x 6500
= $8450
Answer(s): (a) $6500; (b) $8450
