Rachel's income is 10% less than Hazel's income and 35% less than Zoe's income. If Hazel's income is $3000 less than that of Zoe's income,
- Find Hazel's income.
- Given that Hazel received a 15% income cut, find her new income.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 35% = 65%
65% =
65100 =
1320
| Rachel |
Hazel |
Zoe |
| 9x13 |
10x13 |
|
| 13x9 |
|
20x9 |
| 117 u |
130 u |
180 u |
Rachel's income is the repeated identity. Make Rachel's salary the same. LCM of 9 and 13 is 117.
Amount that Hazel's income is less than Zoe's salary
= 180 u - 130 u
= 50 u
50 u = 3000
1 u = 3000 ÷ 50 = 60
Hazel's income
= 130 u
= 130 x 60
= $7800
(b)
Percentage of Hazel's income after 15% income cut
= 100% - 15%
= 85%
Hazel's new income
= 85% x 7800
=
85100 x 7800
= $6630
Answer(s): (a) $7800; (b) $6630
