Ben's and Winnie's monthly allowances were the same at first. Ben's allowance increased by 50% while Winnie's decreased by 10%. Given that Ben's allowance would decrease by another 20% if he had received $789 less from his fathers, find the difference in the children's monthly allowances.
| |
Ben |
Winnie |
| Before |
1 u |
1 u |
| Change 1 |
+ 0.5 u |
- 0.1 u |
| After 1 |
1.5 u |
0.9 u |
| Change 2 |
- 0.3 u |
No change |
| After 2 |
1.2 u |
0.9 u |
Increase in Ben's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Winnie's allowance
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Decrease in Ben's allowance if he had received $789 less from his fathers
= 20% x 1.5 u
=
20100 x 1.5 u
= 0.3 u
0.3 u = 789
1 u = 789 ÷ 0.3 = 2630
Difference in the allowance between Ben and Winnie
= 1.5 u - 0.9 u
= 0.6 u
= 0.6 x 2630
= $1578
Answer(s): $1578
