Fabian's and Kathy's monthly allowances were the same at first. Fabian's allowance increased by 40% while Kathy's decreased by 10%. Given that Fabian's allowance would increase by another 25% if he had received $868 more from his Fathers, find the difference in the children's monthly allowances.
| |
Fabian |
Kathy |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.4 u |
- 0.1 u |
| After 1 |
1.4 u |
0.9 u |
| Change 2 |
+ 0.35 u |
No change |
| After 2 |
1.75 u |
0.9 u |
Increase in Fabian's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Decrease in Kathy's allowance
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Increase in Fabian's allowance if his Fathers gave another $868
= 25% x 1.4 u
=
25100 x 1.4 u
= 0.35 u
0.35 u = 868
1 u = 868 ÷ 0.35 = 2480
Difference in the allowance between Fabian and Kathy
= 1.4 u - 0.9 u
= 0.5 u
= 0.5 x 2480
= $1240
Answer(s): $1240
