Tiffany's income is 10% less than Jean's income and 45% less than Opal's income. If Jean's income is $2100 less than that of Opal's income,
- Find Jean's income.
- Given that Jean received a 20% income increment, find her new income.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 45% = 55%
55% =
55100 =
1120
| Tiffany |
Jean |
Opal |
| 9x11 |
10x11 |
|
| 11x9 |
|
20x9 |
| 99 u |
110 u |
180 u |
Tiffany's income is the repeated identity. Make Tiffany's salary the same. LCM of 9 and 11 is 99.
Amount that Jean's income is less than Opal's salary
= 180 u - 110 u
= 70 u
70 u = 2100
1 u = 2100 ÷ 70 = 30
Jean's income
= 110 u
= 110 x 30
= $3300
(b)
Percentage of Jean's income after 20% income increment
= 100% + 20%
= 120%
Jean's new income
= 120% x 3300
=
120100 x 3300
= $3960
Answer(s): (a) $3300; (b) $3960
