Perry's and Wendy's monthly allowances were the same at first. Perry's allowance increased by 20% while Wendy's decreased by 35%. Given that Perry's allowance would decrease by another 40% if he had received $1248 less from his fathers, find the difference in the children's monthly allowances.
|
Perry |
Wendy |
Before |
1 u |
1 u |
Change 1 |
+ 0.2 u |
- 0.35 u |
After 1 |
1.2 u |
0.65 u |
Change 2 |
- 0.48 u |
No change |
After 2 |
0.72 u |
0.65 u |
Increase in Perry's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Decrease in Wendy's allowance
= 35% x 1 u
=
35100 x 1 u
= 0.35 u
Decrease in Perry's allowance if he had received $1248 less from his fathers
= 40% x 1.2 u
=
40100 x 1.2 u
= 0.48 u
0.48 u = 1248
1 u = 1248 ÷ 0.48 = 2600
Difference in the allowance between Perry and Wendy
= 1.2 u - 0.65 u
= 0.55 u
= 0.55 x 2600
= $1430
Answer(s): $1430