Rael's and Jean's monthly allowances were the same at first. Rael's allowance increased by 45% while Jean's decreased by 40%. Given that Rael's allowance would decrease by another 20% if he had received $754 less from his mothers, find the difference in the children's monthly allowances.

	Rael	Jean
Before	1 u	1 u
Change 1	+ 0.45 u	- 0.4 u
After 1	1.45 u	0.6 u
Change 2	- 0.29 u	No change
After 2	1.16 u	0.6 u

Increase in Rael's allowance
= 45% x 1 u
= ⁴⁵₁₀₀ x 1 u
= 0.45 u

Decrease in Jean's allowance
= 40% x 1 u
= ⁴⁰₁₀₀ x 1 u
= 0.4 u

Decrease in Rael's allowance if he had received $754 less from his mothers
= 20% x 1.45 u
= ²⁰₁₀₀ x 1.45 u
= 0.29 u

0.29 u = 754

1 u = 754 ÷ 0.29 = 2600

Difference in the allowance between Rael and Jean
= 1.45 u - 0.6 u
= 0.85 u
= 0.85 x 2600
= $2210

Answer(s): $2210