Lynn's allowance is 30% less than Olivia's allowance and 35% less than Julie's allowance. If Olivia's allowance is $800 less than that of Julie's allowance,
- Find Olivia's allowance.
- Given that Olivia received a 10% allowance cut, find her new allowance.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 35% = 65%
65% =
65100 =
1320
| Lynn |
Olivia |
Julie |
| 7x13 |
10x13 |
|
| 13x7 |
|
20x7 |
| 91 u |
130 u |
140 u |
Lynn's allowance is the repeated identity. Make Lynn's salary the same. LCM of 7 and 13 is 91.
Amount that Olivia's allowance is less than Julie's salary
= 140 u - 130 u
= 10 u
10 u = 800
1 u = 800 ÷ 10 = 80
Olivia's allowance
= 130 u
= 130 x 80
= $10400
(b)
Percentage of Olivia's allowance after 10% allowance cut
= 100% - 10%
= 90%
Olivia's new allowance
= 90% x 10400
=
90100 x 10400
= $9360
Answer(s): (a) $10400; (b) $9360
