Andy's and Roshel's monthly allowances were the same at first. Andy's allowance increased by 25% while Roshel's decreased by 40%. Given that Andy's allowance would decrease by another 20% if he had received $415 less from his fathers, find the difference in the children's monthly allowances.

	Andy	Roshel
Before	1 u	1 u
Change 1	+ 0.25 u	- 0.4 u
After 1	1.25 u	0.6 u
Change 2	- 0.25 u	No change
After 2	1 u	0.6 u

Increase in Andy's allowance
= 25% x 1 u
= ²⁵₁₀₀ x 1 u
= 0.25 u

Decrease in Roshel's allowance
= 40% x 1 u
= ⁴⁰₁₀₀ x 1 u
= 0.4 u

Decrease in Andy's allowance if he had received $415 less from his fathers
= 20% x 1.25 u
= ²⁰₁₀₀ x 1.25 u
= 0.25 u

0.25 u = 415

1 u = 415 ÷ 0.25 = 1660

Difference in the allowance between Andy and Roshel
= 1.25 u - 0.6 u
= 0.65 u
= 0.65 x 1660
= $1079

Answer(s): $1079