Sean's and Gillian's monthly allowances were the same at first. Sean's allowance increased by 50% while Gillian's decreased by 35%. Given that Sean's allowance would increase by another 10% if he had received $198 more from his Parents, find the difference in the children's monthly allowances.
| |
Sean |
Gillian |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
- 0.35 u |
| After 1 |
1.5 u |
0.65 u |
| Change 2 |
+ 0.15 u |
No change |
| After 2 |
1.65 u |
0.65 u |
Increase in Sean's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Gillian's allowance
= 35% x 1 u
=
35100 x 1 u
= 0.35 u
Increase in Sean's allowance if his Parents gave another $198
= 10% x 1.5 u
=
10100 x 1.5 u
= 0.15 u
0.15 u = 198
1 u = 198 ÷ 0.15 = 1320
Difference in the allowance between Sean and Gillian
= 1.5 u - 0.65 u
= 0.85 u
= 0.85 x 1320
= $1122
Answer(s): $1122
