John's and Elyse's monthly allowances were the same at first. John's allowance increased by 45% while Elyse's decreased by 40%. Given that John's allowance would decrease by another 20% if he had received $841 less from his mothers, find the difference in the children's monthly allowances.

	John	Elyse
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 John's allowance
= 45% x 1 u
= ⁴⁵₁₀₀ x 1 u
= 0.45 u

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

Decrease in John's allowance if he had received $841 less from his mothers
= 20% x 1.45 u
= ²⁰₁₀₀ x 1.45 u
= 0.29 u

0.29 u = 841

1 u = 841 ÷ 0.29 = 2900

Difference in the allowance between John and Elyse
= 1.45 u - 0.6 u
= 0.85 u
= 0.85 x 2900
= $2465

Answer(s): $2465