Wendy's allowance is 10% less than Opal's allowance and 35% less than Cindy's allowance. If Opal's allowance is $4500 less than that of Cindy's allowance,
- Find Opal's allowance.
- Given that Opal received a 40% allowance increment, find her new allowance.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 35% = 65%
65% =
65100 =
1320
| Wendy |
Opal |
Cindy |
| 9x13 |
10x13 |
|
| 13x9 |
|
20x9 |
| 117 u |
130 u |
180 u |
Wendy's allowance is the repeated identity. Make Wendy's salary the same. LCM of 9 and 13 is 117.
Amount that Opal's allowance is less than Cindy's salary
= 180 u - 130 u
= 50 u
50 u = 4500
1 u = 4500 ÷ 50 = 90
Opal's allowance
= 130 u
= 130 x 90
= $11700
(b)
Percentage of Opal's allowance after 40% allowance increment
= 100% + 40%
= 140%
Opal's new allowance
= 140% x 11700
=
140100 x 11700
= $16380
Answer(s): (a) $11700; (b) $16380
