Wesley's and Risa's monthly allowances were the same at first. Wesley's allowance increased by 50% while Risa's decreased by 20%. Given that Wesley's allowance would increase by another 10% if he had received $219 more from his Fathers, find the difference in the children's monthly allowances.
| |
Wesley |
Risa |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
- 0.2 u |
| After 1 |
1.5 u |
0.8 u |
| Change 2 |
+ 0.15 u |
No change |
| After 2 |
1.65 u |
0.8 u |
Increase in Wesley's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Risa's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Increase in Wesley's allowance if his Fathers gave another $219
= 10% x 1.5 u
=
10100 x 1.5 u
= 0.15 u
0.15 u = 219
1 u = 219 ÷ 0.15 = 1460
Difference in the allowance between Wesley and Risa
= 1.5 u - 0.8 u
= 0.7 u
= 0.7 x 1460
= $1022
Answer(s): $1022
