Lucy's income is 20% less than Anna's income and 40% less than Pamela's income. If Anna's income is $450 less than that of Pamela's income,
- Find Anna's income.
- Given that Anna received a 40% income increment, find her new income.
(a)
100% - 20% = 80%
80% =
80100 =
45 100% - 40% = 60%
60% =
60100 =
35
| Lucy |
Anna |
Pamela |
| 4x3 |
5x3 |
|
| 3x4 |
|
5x4 |
| 12 u |
15 u |
20 u |
Lucy's income is the repeated identity. Make Lucy's salary the same. LCM of 4 and 3 is 12.
Amount that Anna's income is less than Pamela's salary
= 20 u - 15 u
= 5 u
5 u = 450
1 u = 450 ÷ 5 = 90
Anna's income
= 15 u
= 15 x 90
= $1350
(b)
Percentage of Anna's income after 40% income increment
= 100% + 40%
= 140%
Anna's new income
= 140% x 1350
=
140100 x 1350
= $1890
Answer(s): (a) $1350; (b) $1890
