Linda's income is 20% less than Opal's income and 35% less than Pamela's income. If Opal's income is $300 less than that of Pamela's income,
- Find Opal's income.
- Given that Opal received a 30% income increment, find her new income.
(a)
100% - 20% = 80%
80% =
80100 =
45 100% - 35% = 65%
65% =
65100 =
1320
| Linda |
Opal |
Pamela |
| 4x13 |
5x13 |
|
| 13x4 |
|
20x4 |
| 52 u |
65 u |
80 u |
Linda's income is the repeated identity. Make Linda's salary the same. LCM of 4 and 13 is 52.
Amount that Opal's income is less than Pamela's salary
= 80 u - 65 u
= 15 u
15 u = 300
1 u = 300 ÷ 15 = 20
Opal's income
= 65 u
= 65 x 20
= $1300
(b)
Percentage of Opal's income after 30% income increment
= 100% + 30%
= 130%
Opal's new income
= 130% x 1300
=
130100 x 1300
= $1690
Answer(s): (a) $1300; (b) $1690
