Elijah's and Elyse's monthly allowances were the same at first. Elijah's allowance increased by 50% while Elyse's decreased by 35%. Given that Elijah's allowance would decrease by another 10% if he had received $423 less from his parents, find the difference in the children's monthly allowances.

	Elijah	Elyse
Before	1 u	1 u
Change 1	+ 0.5 u	- 0.35 u
After 1	1.5 u	0.65 u
Change 2	- 0.15 u	No change
After 2	1.35 u	0.65 u

Increase in Elijah's allowance
= 50% x 1 u
= ⁵⁰₁₀₀ x 1 u
= 0.5 u

Decrease in Elyse's allowance
= 35% x 1 u
= ³⁵₁₀₀ x 1 u
= 0.35 u

Decrease in Elijah's allowance if he had received $423 less from his parents
= 10% x 1.5 u
= ¹⁰₁₀₀ x 1.5 u
= 0.15 u

0.15 u = 423

1 u = 423 ÷ 0.15 = 2820

Difference in the allowance between Elijah and Elyse
= 1.5 u - 0.65 u
= 0.85 u
= 0.85 x 2820
= $2397

Answer(s): $2397