Brandon's and Ivory's monthly allowances were the same at first. Brandon's allowance increased by 20% while Ivory's decreased by 40%. Given that Brandon's allowance would decrease by another 25% if he had received $726 less from his parents, find the difference in the children's monthly allowances.

	Brandon	Ivory
Before	1 u	1 u
Change 1	+ 0.2 u	- 0.4 u
After 1	1.2 u	0.6 u
Change 2	- 0.3 u	No change
After 2	0.9 u	0.6 u

Increase in Brandon's allowance
= 20% x 1 u
= ²⁰₁₀₀ x 1 u
= 0.2 u

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

Decrease in Brandon's allowance if he had received $726 less from his parents
= 25% x 1.2 u
= ²⁵₁₀₀ x 1.2 u
= 0.3 u

0.3 u = 726

1 u = 726 ÷ 0.3 = 2420

Difference in the allowance between Brandon and Ivory
= 1.2 u - 0.6 u
= 0.6 u
= 0.6 x 2420
= $1452

Answer(s): $1452