Mary's income is 30% less than Erika's income and 45% less than Julie's income. If Erika's income is $600 less than that of Julie's income,
- Find Erika's income.
- Given that Erika received a 15% income cut, find her new income.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 45% = 55%
55% =
55100 =
1120
| Mary |
Erika |
Julie |
| 7x11 |
10x11 |
|
| 11x7 |
|
20x7 |
| 77 u |
110 u |
140 u |
Mary's income is the repeated identity. Make Mary's salary the same. LCM of 7 and 11 is 77.
Amount that Erika's income is less than Julie's salary
= 140 u - 110 u
= 30 u
30 u = 600
1 u = 600 ÷ 30 = 20
Erika's income
= 110 u
= 110 x 20
= $2200
(b)
Percentage of Erika's income after 15% income cut
= 100% - 15%
= 85%
Erika's new income
= 85% x 2200
=
85100 x 2200
= $1870
Answer(s): (a) $2200; (b) $1870
