Tammy's income is 30% less than Lynn's income and 35% less than Linda's income. If Lynn's income is $500 less than that of Linda's income,
- Find Lynn's income.
- Given that Lynn received a 35% income increment, find her new income.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 35% = 65%
65% =
65100 =
1320
| Tammy |
Lynn |
Linda |
| 7x13 |
10x13 |
|
| 13x7 |
|
20x7 |
| 91 u |
130 u |
140 u |
Tammy's income is the repeated identity. Make Tammy's salary the same. LCM of 7 and 13 is 91.
Amount that Lynn's income is less than Linda's salary
= 140 u - 130 u
= 10 u
10 u = 500
1 u = 500 ÷ 10 = 50
Lynn's income
= 130 u
= 130 x 50
= $6500
(b)
Percentage of Lynn's income after 35% income increment
= 100% + 35%
= 135%
Lynn's new income
= 135% x 6500
=
135100 x 6500
= $8775
Answer(s): (a) $6500; (b) $8775
