Archie's and Marion's monthly allowances were the same at first. Archie's allowance increased by 50% while Marion's decreased by 35%. Given that Archie's allowance would increase by another 40% if he had received $1056 more from his Parents, find the difference in the children's monthly allowances.

	Archie	Marion
Before	1 u	1 u
Change 1	+ 0.5 u	- 0.35 u
After 1	1.5 u	0.65 u
Change 2	+ 0.6 u	No change
After 2	2.1 u	0.65 u

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

Decrease in Marion's allowance
= 35% x 1 u
= ³⁵₁₀₀ x 1 u
= 0.35 u

Increase in Archie's allowance if his Parents gave another $1056
= 40% x 1.5 u
= ⁴⁰₁₀₀ x 1.5 u
= 0.6 u

0.6 u = 1056

1 u = 1056 ÷ 0.6 = 1760

Difference in the allowance between Archie and Marion
= 1.5 u - 0.65 u
= 0.85 u
= 0.85 x 1760
= $1496

Answer(s): $1496