Ahmad's and Xuan's monthly allowances were the same at first. Ahmad's allowance increased by 50% while Xuan's decreased by 15%. Given that Ahmad's allowance would increase by another 20% if he had received $438 more from his Mothers, find the difference in the children's monthly allowances.
| |
Ahmad |
Xuan |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
- 0.15 u |
| After 1 |
1.5 u |
0.85 u |
| Change 2 |
+ 0.3 u |
No change |
| After 2 |
1.8 u |
0.85 u |
Increase in Ahmad's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Xuan's allowance
= 15% x 1 u
=
15100 x 1 u
= 0.15 u
Increase in Ahmad's allowance if his Mothers gave another $438
= 20% x 1.5 u
=
20100 x 1.5 u
= 0.3 u
0.3 u = 438
1 u = 438 ÷ 0.3 = 1460
Difference in the allowance between Ahmad and Xuan
= 1.5 u - 0.85 u
= 0.65 u
= 0.65 x 1460
= $949
Answer(s): $949
