Julian's and Irene's monthly allowances were the same at first. Julian's allowance increased by 20% while Irene's decreased by 15%. Given that Julian's allowance would increase by another 20% if he had received $384 more from his Mothers, find the difference in the children's monthly allowances.

	Julian	Irene
Before	1 u	1 u
Change 1	+ 0.2 u	- 0.15 u
After 1	1.2 u	0.85 u
Change 2	+ 0.24 u	No change
After 2	1.44 u	0.85 u

Increase in Julian's allowance
= 20% x 1 u
= ²⁰₁₀₀ x 1 u
= 0.2 u

Decrease in Irene's allowance
= 15% x 1 u
= ¹⁵₁₀₀ x 1 u
= 0.15 u

Increase in Julian's allowance if his Mothers gave another $384
= 20% x 1.2 u
= ²⁰₁₀₀ x 1.2 u
= 0.24 u

0.24 u = 384

1 u = 384 ÷ 0.24 = 1600

Difference in the allowance between Julian and Irene
= 1.2 u - 0.85 u
= 0.35 u
= 0.35 x 1600
= $560

Answer(s): $560