Cindy's allowance is 20% less than Wendy's allowance and 35% less than Raeann's allowance. If Wendy's allowance is $1500 less than that of Raeann's allowance,
- Find Wendy's allowance.
- Given that Wendy received a 20% allowance increment, find her new allowance.
(a)
100% - 20% = 80%
80% =
80100 =
45 100% - 35% = 65%
65% =
65100 =
1320
| Cindy |
Wendy |
Raeann |
| 4x13 |
5x13 |
|
| 13x4 |
|
20x4 |
| 52 u |
65 u |
80 u |
Cindy's allowance is the repeated identity. Make Cindy's salary the same. LCM of 4 and 13 is 52.
Amount that Wendy's allowance is less than Raeann's salary
= 80 u - 65 u
= 15 u
15 u = 1500
1 u = 1500 ÷ 15 = 100
Wendy's allowance
= 65 u
= 65 x 100
= $6500
(b)
Percentage of Wendy's allowance after 20% allowance increment
= 100% + 20%
= 120%
Wendy's new allowance
= 120% x 6500
=
120100 x 6500
= $7800
Answer(s): (a) $6500; (b) $7800
