Asher's and Roshel's monthly allowances were the same at first. Asher's allowance increased by 50% while Roshel's decreased by 40%. Given that Asher's allowance would increase by another 40% if he had received $1182 more from his Mothers, find the difference in the children's monthly allowances.
| |
Asher |
Roshel |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
- 0.4 u |
| After 1 |
1.5 u |
0.6 u |
| Change 2 |
+ 0.6 u |
No change |
| After 2 |
2.1 u |
0.6 u |
Increase in Asher's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Roshel's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Increase in Asher's allowance if his Mothers gave another $1182
= 40% x 1.5 u
=
40100 x 1.5 u
= 0.6 u
0.6 u = 1182
1 u = 1182 ÷ 0.6 = 1970
Difference in the allowance between Asher and Roshel
= 1.5 u - 0.6 u
= 0.9 u
= 0.9 x 1970
= $1773
Answer(s): $1773
