Abi's allowance is 20% less than Emily's allowance and 35% less than Emma's allowance. If Emily's allowance is $1050 less than that of Emma's allowance,
- Find Emily's allowance.
- Given that Emily received a 20% allowance increment, find her new allowance.
(a)
100% - 20% = 80%
80% =
80100 =
45 100% - 35% = 65%
65% =
65100 =
1320
| Abi |
Emily |
Emma |
| 4x13 |
5x13 |
|
| 13x4 |
|
20x4 |
| 52 u |
65 u |
80 u |
Abi's allowance is the repeated identity. Make Abi's salary the same. LCM of 4 and 13 is 52.
Amount that Emily's allowance is less than Emma's salary
= 80 u - 65 u
= 15 u
15 u = 1050
1 u = 1050 ÷ 15 = 70
Emily's allowance
= 65 u
= 65 x 70
= $4550
(b)
Percentage of Emily's allowance after 20% allowance increment
= 100% + 20%
= 120%
Emily's new allowance
= 120% x 4550
=
120100 x 4550
= $5460
Answer(s): (a) $4550; (b) $5460
