Xavier's and Xuan's monthly allowances were the same at first. Xavier's allowance increased by 40% while Xuan's decreased by 15%. Given that Xavier's allowance would decrease by another 25% if he had received $1029 less from his parents, find the difference in the children's monthly allowances.

	Xavier	Xuan
Before	1 u	1 u
Change 1	+ 0.4 u	- 0.15 u
After 1	1.4 u	0.85 u
Change 2	- 0.35 u	No change
After 2	1.05 u	0.85 u

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

Decrease in Xuan's allowance
= 15% x 1 u
= ¹⁵₁₀₀ x 1 u
= 0.15 u

Decrease in Xavier's allowance if he had received $1029 less from his parents
= 25% x 1.4 u
= ²⁵₁₀₀ x 1.4 u
= 0.35 u

0.35 u = 1029

1 u = 1029 ÷ 0.35 = 2940

Difference in the allowance between Xavier and Xuan
= 1.4 u - 0.85 u
= 0.55 u
= 0.55 x 2940
= $1617

Answer(s): $1617