Vincent's and Gillian's monthly allowances were the same at first. Vincent's allowance increased by 50% while Gillian's decreased by 20%. Given that Vincent's allowance would increase by another 30% if he had received $792 more from his Parents, find the difference in the children's monthly allowances.

	Vincent	Gillian
Before	1 u	1 u
Change 1	+ 0.5 u	- 0.2 u
After 1	1.5 u	0.8 u
Change 2	+ 0.45 u	No change
After 2	1.95 u	0.8 u

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

Decrease in Gillian's allowance
= 20% x 1 u
= ²⁰₁₀₀ x 1 u
= 0.2 u

Increase in Vincent's allowance if his Parents gave another $792
= 30% x 1.5 u
= ³⁰₁₀₀ x 1.5 u
= 0.45 u

0.45 u = 792

1 u = 792 ÷ 0.45 = 1760

Difference in the allowance between Vincent and Gillian
= 1.5 u - 0.8 u
= 0.7 u
= 0.7 x 1760
= $1232

Answer(s): $1232