Opal's allowance is 30% less than Min's allowance and 45% less than Winnie's allowance. If Min's allowance is $1800 less than that of Winnie's allowance,
- Find Min's allowance.
- Given that Min received a 20% allowance increment, find her new allowance.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 45% = 55%
55% =
55100 =
1120
| Opal |
Min |
Winnie |
| 7x11 |
10x11 |
|
| 11x7 |
|
20x7 |
| 77 u |
110 u |
140 u |
Opal's allowance is the repeated identity. Make Opal's salary the same. LCM of 7 and 11 is 77.
Amount that Min's allowance is less than Winnie's salary
= 140 u - 110 u
= 30 u
30 u = 1800
1 u = 1800 ÷ 30 = 60
Min's allowance
= 110 u
= 110 x 60
= $6600
(b)
Percentage of Min's allowance after 20% allowance increment
= 100% + 20%
= 120%
Min's new allowance
= 120% x 6600
=
120100 x 6600
= $7920
Answer(s): (a) $6600; (b) $7920
