Nicole's allowance is 10% less than Risa's allowance and 45% less than Joelle's allowance. If Risa's allowance is $2100 less than that of Joelle's allowance,
- Find Risa's allowance.
- Given that Risa received a 25% allowance cut, find her new allowance.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 45% = 55%
55% =
55100 =
1120
| Nicole |
Risa |
Joelle |
| 9x11 |
10x11 |
|
| 11x9 |
|
20x9 |
| 99 u |
110 u |
180 u |
Nicole's allowance is the repeated identity. Make Nicole's salary the same. LCM of 9 and 11 is 99.
Amount that Risa's allowance is less than Joelle's salary
= 180 u - 110 u
= 70 u
70 u = 2100
1 u = 2100 ÷ 70 = 30
Risa's allowance
= 110 u
= 110 x 30
= $3300
(b)
Percentage of Risa's allowance after 25% allowance cut
= 100% - 25%
= 75%
Risa's new allowance
= 75% x 3300
=
75100 x 3300
= $2475
Answer(s): (a) $3300; (b) $2475
