Gabriel's and Roshel's monthly allowances were the same at first. Gabriel's allowance increased by 30% while Roshel's increased by 10%. Given that Gabriel's allowance would increase by another 20% if he had received $546 more from his father, find the difference in the children's monthly allowances.

	Gabriel	Roshel
Before	1 u	1 u
Change 1	+ 0.3 u	+ 0.1 u
After 1	1.3 u	1.1 u
Change 2	+ 0.26 u	No change
After 2	1.56 u	1.1 u

Increase in Gabriel's allowance
= 30% x 1 u
= ³⁰₁₀₀ x 1 u
= 0.3 u

Increase in Roshel's allowance
= 10% x 1 u
= ¹⁰₁₀₀ x 1 u
= 0.1 u

Increase in Gabriel's allowance if his father gave another $546
= 20% x 1.3 u
= ²⁰₁₀₀ x 1.3 u
= 0.26 u

0.26 u = 546

1 u = 546 ÷ 0.26 = 2100

Difference in the allowance between Gabriel and Roshel
= 1.3 u - 1.1 u
= 0.2 u
= 0.2 x 2100
= $420

Answer(s): $420