Tammy's income is 10% less than Jade's income and 40% less than Winnie's income. If Jade's income is $1500 less than that of Winnie's income,
- Find Jade's income.
- Given that Jade received a 40% income cut, find her new income.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 40% = 60%
60% =
60100 =
35
| Tammy |
Jade |
Winnie |
| 9x3 |
10x3 |
|
| 3x9 |
|
5x9 |
| 27 u |
30 u |
45 u |
Tammy's income is the repeated identity. Make Tammy's salary the same. LCM of 9 and 3 is 27.
Amount that Jade's income is less than Winnie's salary
= 45 u - 30 u
= 15 u
15 u = 1500
1 u = 1500 ÷ 15 = 100
Jade's income
= 30 u
= 30 x 100
= $3000
(b)
Percentage of Jade's income after 40% income cut
= 100% - 40%
= 60%
Jade's new income
= 60% x 3000
=
60100 x 3000
= $1800
Answer(s): (a) $3000; (b) $1800
