Gabriel's and Natalie's monthly allowances were the same at first. Gabriel's allowance increased by 50% while Natalie's increased by 20%. Given that Gabriel's allowance would increase by another 40% if he had received $1362 more from his parent, find the difference in the children's monthly allowances.

	Gabriel	Natalie
Before	1 u	1 u
Change 1	+ 0.5 u	+ 0.2 u
After 1	1.5 u	1.2 u
Change 2	+ 0.6 u	No change
After 2	2.1 u	1.2 u

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

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

Increase in Gabriel's allowance if his parent gave another $1362
= 40% x 1.5 u
= ⁴⁰₁₀₀ x 1.5 u
= 0.6 u

0.6 u = 1362

1 u = 1362 ÷ 0.6 = 2270

Difference in the allowance between Gabriel and Natalie
= 1.5 u - 1.2 u
= 0.3 u
= 0.3 x 2270
= $681

Answer(s): $681