Zeph's and Shannon's monthly allowances were the same at first. Zeph's allowance increased by 50% while Shannon's decreased by 25%. Given that Zeph's allowance would increase by another 20% if he had received $672 more from his Mothers, find the difference in the children's monthly allowances.
|
Zeph |
Shannon |
Before |
1 u |
1 u |
Change 1 |
+ 0.5 u |
- 0.25 u |
After 1 |
1.5 u |
0.75 u |
Change 2 |
+ 0.3 u |
No change |
After 2 |
1.8 u |
0.75 u |
Increase in Zeph's allowance
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
Decrease in Shannon's allowance
= 25% x 1 u
=
25100 x 1 u
= 0.25 u
Increase in Zeph's allowance if his Mothers gave another $672
= 20% x 1.5 u
=
20100 x 1.5 u
= 0.3 u
0.3 u = 672
1 u = 672 ÷ 0.3 = 2240
Difference in the allowance between Zeph and Shannon
= 1.5 u - 0.75 u
= 0.75 u
= 0.75 x 2240
= $1680
Answer(s): $1680