Pierre's and Rachel's monthly allowances were the same at first. Pierre's allowance increased by 50% while Rachel's decreased by 20%. Given that Pierre's allowance would increase by another 30% if he had received $828 more from his Fathers, find the difference in the children's monthly allowances.

	Pierre	Rachel
Before	1 u	1 u
Change 1	+ 0.5 u	- 0.2 u
After 1	1.5 u	0.8 u
Change 2	+ 0.45 u	No change
After 2	1.95 u	0.8 u

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

Decrease in Rachel's allowance
= 20% x 1 u
= ²⁰₁₀₀ x 1 u
= 0.2 u

Increase in Pierre's allowance if his Fathers gave another $828
= 30% x 1.5 u
= ³⁰₁₀₀ x 1.5 u
= 0.45 u

0.45 u = 828

1 u = 828 ÷ 0.45 = 1840

Difference in the allowance between Pierre and Rachel
= 1.5 u - 0.8 u
= 0.7 u
= 0.7 x 1840
= $1288

Answer(s): $1288