Gem's allowance is 20% less than Zara's allowance and 40% less than Jen's allowance. If Zara's allowance is $500 less than that of Jen's allowance,
- Find Zara's allowance.
- Given that Zara received a 10% allowance increment, find her new allowance.
(a)
100% - 20% = 80%
80% =
80100 =
45 100% - 40% = 60%
60% =
60100 =
35
| Gem |
Zara |
Jen |
| 4x3 |
5x3 |
|
| 3x4 |
|
5x4 |
| 12 u |
15 u |
20 u |
Gem's allowance is the repeated identity. Make Gem's salary the same. LCM of 4 and 3 is 12.
Amount that Zara's allowance is less than Jen's salary
= 20 u - 15 u
= 5 u
5 u = 500
1 u = 500 ÷ 5 = 100
Zara's allowance
= 15 u
= 15 x 100
= $1500
(b)
Percentage of Zara's allowance after 10% allowance increment
= 100% + 10%
= 110%
Zara's new allowance
= 110% x 1500
=
110100 x 1500
= $1650
Answer(s): (a) $1500; (b) $1650
