Dylan's and Penelope's monthly allowances were the same at first. Dylan's allowance increased by 50% while Penelope's decreased by 25%. Given that Dylan's allowance would decrease by another 10% if he had received $378 less from his mothers, find the difference in the children's monthly allowances.

	Dylan	Penelope
Before	1 u	1 u
Change 1	+ 0.5 u	- 0.25 u
After 1	1.5 u	0.75 u
Change 2	- 0.15 u	No change
After 2	1.35 u	0.75 u

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

Decrease in Penelope's allowance
= 25% x 1 u
= ²⁵₁₀₀ x 1 u
= 0.25 u

Decrease in Dylan's allowance if he had received $378 less from his mothers
= 10% x 1.5 u
= ¹⁰₁₀₀ x 1.5 u
= 0.15 u

0.15 u = 378

1 u = 378 ÷ 0.15 = 2520

Difference in the allowance between Dylan and Penelope
= 1.5 u - 0.75 u
= 0.75 u
= 0.75 x 2520
= $1890

Answer(s): $1890