Joelle's allowance is 10% less than Xylia's allowance and 45% less than Rachel's allowance. If Xylia's allowance is $1400 less than that of Rachel's allowance,
- Find Xylia's allowance.
- Given that Xylia received a 40% allowance increment, find her new allowance.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 45% = 55%
55% =
55100 =
1120
| Joelle |
Xylia |
Rachel |
| 9x11 |
10x11 |
|
| 11x9 |
|
20x9 |
| 99 u |
110 u |
180 u |
Joelle's allowance is the repeated identity. Make Joelle's salary the same. LCM of 9 and 11 is 99.
Amount that Xylia's allowance is less than Rachel's salary
= 180 u - 110 u
= 70 u
70 u = 1400
1 u = 1400 ÷ 70 = 20
Xylia's allowance
= 110 u
= 110 x 20
= $2200
(b)
Percentage of Xylia's allowance after 40% allowance increment
= 100% + 40%
= 140%
Xylia's new allowance
= 140% x 2200
=
140100 x 2200
= $3080
Answer(s): (a) $2200; (b) $3080
