Risa's allowance is 30% less than Barbara's allowance and 35% less than Olivia's allowance. If Barbara's allowance is $700 less than that of Olivia's allowance,
- Find Barbara's allowance.
- Given that Barbara received a 25% allowance increment, find her new allowance.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 35% = 65%
65% =
65100 =
1320
| Risa |
Barbara |
Olivia |
| 7x13 |
10x13 |
|
| 13x7 |
|
20x7 |
| 91 u |
130 u |
140 u |
Risa's allowance is the repeated identity. Make Risa's salary the same. LCM of 7 and 13 is 91.
Amount that Barbara's allowance is less than Olivia's salary
= 140 u - 130 u
= 10 u
10 u = 700
1 u = 700 ÷ 10 = 70
Barbara's allowance
= 130 u
= 130 x 70
= $9100
(b)
Percentage of Barbara's allowance after 25% allowance increment
= 100% + 25%
= 125%
Barbara's new allowance
= 125% x 9100
=
125100 x 9100
= $11375
Answer(s): (a) $9100; (b) $11375
