Raeann's income is 30% less than Joelle's income and 35% less than Julie's income. If Joelle's income is $600 less than that of Julie's income,
- Find Joelle's income.
- Given that Joelle received a 35% income cut, find her new income.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 35% = 65%
65% =
65100 =
1320
| Raeann |
Joelle |
Julie |
| 7x13 |
10x13 |
|
| 13x7 |
|
20x7 |
| 91 u |
130 u |
140 u |
Raeann's income is the repeated identity. Make Raeann's salary the same. LCM of 7 and 13 is 91.
Amount that Joelle's income is less than Julie's salary
= 140 u - 130 u
= 10 u
10 u = 600
1 u = 600 ÷ 10 = 60
Joelle's income
= 130 u
= 130 x 60
= $7800
(b)
Percentage of Joelle's income after 35% income cut
= 100% - 35%
= 65%
Joelle's new income
= 65% x 7800
=
65100 x 7800
= $5070
Answer(s): (a) $7800; (b) $5070
