Owen's and Jane's monthly allowances were the same at first. Owen's allowance increased by 50% while Jane's decreased by 35%. Given that Owen's allowance would increase by another 30% if he had received $1008 more from his Mothers, find the difference in the children's monthly allowances.
| |
Owen |
Jane |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
- 0.35 u |
| After 1 |
1.5 u |
0.65 u |
| Change 2 |
+ 0.45 u |
No change |
| After 2 |
1.95 u |
0.65 u |
Increase in Owen's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Jane's allowance
= 35% x 1 u
=
35100 x 1 u
= 0.35 u
Increase in Owen's allowance if his Mothers gave another $1008
= 30% x 1.5 u
=
30100 x 1.5 u
= 0.45 u
0.45 u = 1008
1 u = 1008 ÷ 0.45 = 2240
Difference in the allowance between Owen and Jane
= 1.5 u - 0.65 u
= 0.85 u
= 0.85 x 2240
= $1904
Answer(s): $1904
