Ben's and Xandra's monthly allowances were the same at first. Ben's allowance increased by 30% while Xandra's decreased by 10%. Given that Ben's allowance would increase by another 40% if he had received $910 more from his Fathers, find the difference in the children's monthly allowances.
| |
Ben |
Xandra |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.3 u |
- 0.1 u |
| After 1 |
1.3 u |
0.9 u |
| Change 2 |
+ 0.52 u |
No change |
| After 2 |
1.82 u |
0.9 u |
Increase in Ben's allowance
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
Decrease in Xandra's allowance
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Increase in Ben's allowance if his Fathers gave another $910
= 40% x 1.3 u
=
40100 x 1.3 u
= 0.52 u
0.52 u = 910
1 u = 910 ÷ 0.52 = 1750
Difference in the allowance between Ben and Xandra
= 1.3 u - 0.9 u
= 0.4 u
= 0.4 x 1750
= $700
Answer(s): $700
