Ahmad's and Elyse's monthly allowances were the same at first. Ahmad's allowance increased by 40% while Elyse's decreased by 10%. Given that Ahmad's allowance would decrease by another 30% if he had received $903 less from his fathers, find the difference in the children's monthly allowances.

	Ahmad	Elyse
Before	1 u	1 u
Change 1	+ 0.4 u	- 0.1 u
After 1	1.4 u	0.9 u
Change 2	- 0.42 u	No change
After 2	0.98 u	0.9 u

Increase in Ahmad's allowance
= 40% x 1 u
= ⁴⁰₁₀₀ x 1 u
= 0.4 u

Decrease in Elyse's allowance
= 10% x 1 u
= ¹⁰₁₀₀ x 1 u
= 0.1 u

Decrease in Ahmad's allowance if he had received $903 less from his fathers
= 30% x 1.4 u
= ³⁰₁₀₀ x 1.4 u
= 0.42 u

0.42 u = 903

1 u = 903 ÷ 0.42 = 2150

Difference in the allowance between Ahmad and Elyse
= 1.4 u - 0.9 u
= 0.5 u
= 0.5 x 2150
= $1075

Answer(s): $1075