Vincent's and Zara's monthly allowances were the same at first. Vincent's allowance increased by 25% while Zara's decreased by 10%. Given that Vincent's allowance would decrease by another 20% if he had received $465 less from his mothers, find the difference in the children's monthly allowances.

	Vincent	Zara
Before	1 u	1 u
Change 1	+ 0.25 u	- 0.1 u
After 1	1.25 u	0.9 u
Change 2	- 0.25 u	No change
After 2	1 u	0.9 u

Increase in Vincent's allowance
= 25% x 1 u
= ²⁵₁₀₀ x 1 u
= 0.25 u

Decrease in Zara's allowance
= 10% x 1 u
= ¹⁰₁₀₀ x 1 u
= 0.1 u

Decrease in Vincent's allowance if he had received $465 less from his mothers
= 20% x 1.25 u
= ²⁰₁₀₀ x 1.25 u
= 0.25 u

0.25 u = 465

1 u = 465 ÷ 0.25 = 1860

Difference in the allowance between Vincent and Zara
= 1.25 u - 0.9 u
= 0.35 u
= 0.35 x 1860
= $651

Answer(s): $651