Jaslyn's income is 30% less than Barbara's income and 35% less than Lynn's income. If Barbara's income is $900 less than that of Lynn's income,
- Find Barbara's income.
- Given that Barbara received a 35% income increment, find her new income.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 35% = 65%
65% =
65100 =
1320
Jaslyn |
Barbara |
Lynn |
7x13 |
10x13 |
|
13x7 |
|
20x7 |
91 u |
130 u |
140 u |
Jaslyn's income is the repeated identity. Make Jaslyn's salary the same. LCM of 7 and 13 is 91.
Amount that Barbara's income is less than Lynn's salary
= 140 u - 130 u
= 10 u
10 u = 900
1 u = 900 ÷ 10 = 90
Barbara's income
= 130 u
= 130 x 90
= $11700
(b)
Percentage of Barbara's income after 35% income increment
= 100% + 35%
= 135%
Barbara's new income
= 135% x 11700
=
135100 x 11700
= $15795
Answer(s): (a) $11700; (b) $15795