Brandon's and Emily's monthly allowances were the same at first. Brandon's allowance increased by 40% while Emily's decreased by 10%. Given that Brandon's allowance would decrease by another 15% if he had received $546 less from his parents, find the difference in the children's monthly allowances.

	Brandon	Emily
Before	1 u	1 u
Change 1	+ 0.4 u	- 0.1 u
After 1	1.4 u	0.9 u
Change 2	- 0.21 u	No change
After 2	1.19 u	0.9 u

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

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

Decrease in Brandon's allowance if he had received $546 less from his parents
= 15% x 1.4 u
= ¹⁵₁₀₀ x 1.4 u
= 0.21 u

0.21 u = 546

1 u = 546 ÷ 0.21 = 2600

Difference in the allowance between Brandon and Emily
= 1.4 u - 0.9 u
= 0.5 u
= 0.5 x 2600
= $1300

Answer(s): $1300