Vincent's and Emily's monthly allowances were the same at first. Vincent's allowance increased by 35% while Emily's increased by 25%. Given that Vincent's allowance would increase by another 40% if he had received $972 more from his parent, find the difference in the children's monthly allowances.

	Vincent	Emily
Before	1 u	1 u
Change 1	+ 0.35 u	+ 0.25 u
After 1	1.35 u	1.25 u
Change 2	+ 0.54 u	No change
After 2	1.89 u	1.25 u

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

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

Increase in Vincent's allowance if his parent gave another $972
= 40% x 1.35 u
= ⁴⁰₁₀₀ x 1.35 u
= 0.54 u

0.54 u = 972

1 u = 972 ÷ 0.54 = 1800

Difference in the allowance between Vincent and Emily
= 1.35 u - 1.25 u
= 0.1 u
= 0.1 x 1800
= $180

Answer(s): $180