Dylan's and Joelle's monthly allowances were the same at first. Dylan's allowance increased by 35% while Joelle's decreased by 40%. Given that Dylan's allowance would increase by another 40% if he had received $810 more from his Parents, find the difference in the children's monthly allowances.

	Dylan	Joelle
Before	1 u	1 u
Change 1	+ 0.35 u	- 0.4 u
After 1	1.35 u	0.6 u
Change 2	+ 0.54 u	No change
After 2	1.89 u	0.6 u

Increase in Dylan's allowance
= 35% x 1 u
= ³⁵₁₀₀ x 1 u
= 0.35 u

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

Increase in Dylan's allowance if his Parents gave another $810
= 40% x 1.35 u
= ⁴⁰₁₀₀ x 1.35 u
= 0.54 u

0.54 u = 810

1 u = 810 ÷ 0.54 = 1500

Difference in the allowance between Dylan and Joelle
= 1.35 u - 0.6 u
= 0.75 u
= 0.75 x 1500
= $1125

Answer(s): $1125