Mary's allowance is 30% less than Tina's allowance and 45% less than Julie's allowance. If Tina's allowance is $1500 less than that of Julie's allowance,
- Find Tina's allowance.
- Given that Tina received a 25% allowance cut, find her new allowance.
(a)
100% - 30% = 70%
70% =
70100 =
710 100% - 45% = 55%
55% =
55100 =
1120
| Mary |
Tina |
Julie |
| 7x11 |
10x11 |
|
| 11x7 |
|
20x7 |
| 77 u |
110 u |
140 u |
Mary's allowance is the repeated identity. Make Mary's salary the same. LCM of 7 and 11 is 77.
Amount that Tina's allowance is less than Julie's salary
= 140 u - 110 u
= 30 u
30 u = 1500
1 u = 1500 ÷ 30 = 50
Tina's allowance
= 110 u
= 110 x 50
= $5500
(b)
Percentage of Tina's allowance after 25% allowance cut
= 100% - 25%
= 75%
Tina's new allowance
= 75% x 5500
=
75100 x 5500
= $4125
Answer(s): (a) $5500; (b) $4125
