Raeann's income is 30% less than Dana's income and 40% less than Mary's income. If Dana's income is $250 less than that of Mary's income,
- Find Dana's income.
- Given that Dana received a 35% income increment, find her new income.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 40% = 60%
60% =
60100 =
35
Raeann |
Dana |
Mary |
7x3 |
10x3 |
|
3x7 |
|
5x7 |
21 u |
30 u |
35 u |
Raeann's income is the repeated identity. Make Raeann's salary the same. LCM of 7 and 3 is 21.
Amount that Dana's income is less than Mary's salary
= 35 u - 30 u
= 5 u
5 u = 250
1 u = 250 ÷ 5 = 50
Dana's income
= 30 u
= 30 x 50
= $1500
(b)
Percentage of Dana's income after 35% income increment
= 100% + 35%
= 135%
Dana's new income
= 135% x 1500
=
135100 x 1500
= $2025
Answer(s): (a) $1500; (b) $2025