Oliver's and Fanny's monthly allowances were the same at first. Oliver's allowance increased by 40% while Fanny's decreased by 10%. Given that Oliver's allowance would increase by another 10% if he had received $287 more from his Parents, find the difference in the children's monthly allowances.
| |
Oliver |
Fanny |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.4 u |
- 0.1 u |
| After 1 |
1.4 u |
0.9 u |
| Change 2 |
+ 0.14 u |
No change |
| After 2 |
1.54 u |
0.9 u |
Increase in Oliver's allowance
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
Decrease in Fanny's allowance
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Increase in Oliver's allowance if his Parents gave another $287
= 10% x 1.4 u
=
10100 x 1.4 u
= 0.14 u
0.14 u = 287
1 u = 287 ÷ 0.14 = 2050
Difference in the allowance between Oliver and Fanny
= 1.4 u - 0.9 u
= 0.5 u
= 0.5 x 2050
= $1025
Answer(s): $1025
