Cathy's allowance is 10% less than Eva's allowance and 40% less than Pamela's allowance. If Eva's allowance is $1050 less than that of Pamela's allowance,
- Find Eva's allowance.
- Given that Eva received a 40% allowance increment, find her new allowance.
(a)
100% - 10% = 90%
90% =
90100 =
910 100% - 40% = 60%
60% =
60100 =
35
| Cathy |
Eva |
Pamela |
| 9x3 |
10x3 |
|
| 3x9 |
|
5x9 |
| 27 u |
30 u |
45 u |
Cathy's allowance is the repeated identity. Make Cathy's salary the same. LCM of 9 and 3 is 27.
Amount that Eva's allowance is less than Pamela's salary
= 45 u - 30 u
= 15 u
15 u = 1050
1 u = 1050 ÷ 15 = 70
Eva's allowance
= 30 u
= 30 x 70
= $2100
(b)
Percentage of Eva's allowance after 40% allowance increment
= 100% + 40%
= 140%
Eva's new allowance
= 140% x 2100
=
140100 x 2100
= $2940
Answer(s): (a) $2100; (b) $2940
