Wesley's and Kimberly's monthly allowances were the same at first. Wesley's allowance increased by 40% while Kimberly's decreased by 20%. Given that Wesley's allowance would increase by another 30% if he had received $1260 more from his Fathers, find the difference in the children's monthly allowances.
|
Wesley |
Kimberly |
Before |
1 u |
1 u |
Change 1 |
+ 0.4 u |
- 0.2 u |
After 1 |
1.4 u |
0.8 u |
Change 2 |
+ 0.42 u |
No change |
After 2 |
1.82 u |
0.8 u |
Increase in Wesley's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Decrease in Kimberly's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Increase in Wesley's allowance if his Fathers gave another $1260
= 30% x 1.4 u
=
30100 x 1.4 u
= 0.42 u
0.42 u = 1260
1 u = 1260 ÷ 0.42 = 3000
Difference in the allowance between Wesley and Kimberly
= 1.4 u - 0.8 u
= 0.6 u
= 0.6 x 3000
= $1800
Answer(s): $1800