Opal's income is 10% less than Marion's income and 45% less than Xandra's income. If Marion's income is $5600 less than that of Xandra's income,
- Find Marion's income.
- Given that Marion received a 40% income cut, find her new income.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 45% = 55%
55% =
55100 =
1120
| Opal |
Marion |
Xandra |
| 9x11 |
10x11 |
|
| 11x9 |
|
20x9 |
| 99 u |
110 u |
180 u |
Opal's income is the repeated identity. Make Opal's salary the same. LCM of 9 and 11 is 99.
Amount that Marion's income is less than Xandra's salary
= 180 u - 110 u
= 70 u
70 u = 5600
1 u = 5600 ÷ 70 = 80
Marion's income
= 110 u
= 110 x 80
= $8800
(b)
Percentage of Marion's income after 40% income cut
= 100% - 40%
= 60%
Marion's new income
= 60% x 8800
=
60100 x 8800
= $5280
Answer(s): (a) $8800; (b) $5280
