Kimberly's allowance is 30% less than Rachel's allowance and 35% less than Shannon's allowance. If Rachel's allowance is $500 less than that of Shannon's allowance,
- Find Rachel's allowance.
- Given that Rachel received a 5% allowance increment, find her new allowance.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 35% = 65%
65% =
65100 =
1320
| Kimberly |
Rachel |
Shannon |
| 7x13 |
10x13 |
|
| 13x7 |
|
20x7 |
| 91 u |
130 u |
140 u |
Kimberly's allowance is the repeated identity. Make Kimberly's salary the same. LCM of 7 and 13 is 91.
Amount that Rachel's allowance is less than Shannon's salary
= 140 u - 130 u
= 10 u
10 u = 500
1 u = 500 ÷ 10 = 50
Rachel's allowance
= 130 u
= 130 x 50
= $6500
(b)
Percentage of Rachel's allowance after 5% allowance increment
= 100% + 5%
= 105%
Rachel's new allowance
= 105% x 6500
=
105100 x 6500
= $6825
Answer(s): (a) $6500; (b) $6825
