Carl's and Wendy's monthly allowances were the same at first. Carl's allowance increased by 20% while Wendy's decreased by 25%. Given that Carl's allowance would decrease by another 30% if he had received $1008 less from his mothers, find the difference in the children's monthly allowances.
|
Carl |
Wendy |
Before |
1 u |
1 u |
Change 1 |
+ 0.2 u |
- 0.25 u |
After 1 |
1.2 u |
0.75 u |
Change 2 |
- 0.36 u |
No change |
After 2 |
0.84 u |
0.75 u |
Increase in Carl's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Decrease in Wendy's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Decrease in Carl's allowance if he had received $1008 less from his mothers
= 30% x 1.2 u
=
30100 x 1.2 u
= 0.36 u
0.36 u = 1008
1 u = 1008 ÷ 0.36 = 2800
Difference in the allowance between Carl and Wendy
= 1.2 u - 0.75 u
= 0.45 u
= 0.45 x 2800
= $1260
Answer(s): $1260