Riordan's and Shannon's monthly allowances were the same at first. Riordan's allowance increased by 20% while Shannon's decreased by 10%. Given that Riordan's allowance would increase by another 25% if he had received $666 more from his Mothers, find the difference in the children's monthly allowances.
|
Riordan |
Shannon |
Before |
1 u |
1 u |
Change 1 |
+ 0.2 u |
- 0.1 u |
After 1 |
1.2 u |
0.9 u |
Change 2 |
+ 0.3 u |
No change |
After 2 |
1.5 u |
0.9 u |
Increase in Riordan's allowance
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Decrease in Shannon's allowance
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Increase in Riordan's allowance if his Mothers gave another $666
= 25% x 1.2 u
=
25100 x 1.2 u
= 0.3 u
0.3 u = 666
1 u = 666 ÷ 0.3 = 2220
Difference in the allowance between Riordan and Shannon
= 1.2 u - 0.9 u
= 0.3 u
= 0.3 x 2220
= $666
Answer(s): $666