Daniel's and Gillian's monthly allowances were the same at first. Daniel's allowance increased by 30% while Gillian's decreased by 25%. Given that Daniel's allowance would increase by another 10% if he had received $260 more from his Fathers, find the difference in the children's monthly allowances.
|
Daniel |
Gillian |
Before |
1 u |
1 u |
Change 1 |
+ 0.3 u |
- 0.25 u |
After 1 |
1.3 u |
0.75 u |
Change 2 |
+ 0.13 u |
No change |
After 2 |
1.43 u |
0.75 u |
Increase in Daniel's allowance
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
Decrease in Gillian's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Increase in Daniel's allowance if his Fathers gave another $260
= 10% x 1.3 u
=
10100 x 1.3 u
= 0.13 u
0.13 u = 260
1 u = 260 ÷ 0.13 = 2000
Difference in the allowance between Daniel and Gillian
= 1.3 u - 0.75 u
= 0.55 u
= 0.55 x 2000
= $1100
Answer(s): $1100