If Jade gives Flynn $36, the amount of money she has will be 30% of his. If Flynn gives Jade $48, he will have the same amount of money as her. How much money did each of them have?
(a) Flynn
(b) Jade

	Case 1		Case 2
	Flynn	Jade	Flynn	Jade
Before	10 u - 36	3 u + 36	6.5 u + 48	6.5 u - 48
Change	+ 36	- 36	- 48	+ 48
After	10 u	3 u	6.5 u	6.5 u

(a)
30% = ³⁰₁₀₀ = ³₁₀

In Case 1, when Jade gives to Flynn, there is an internal transfer of money from Jade to Flynn.  The total amount that both have remains the same.

In Case 2, when Flynn gives to Jade, there is an internal transfer of money from Flynn to Jade. The total amount that both have remains the same.

The total amount that both have in Case 1 and Case 2 are the same.

Total amount that Jade and Flynn have
= 10 u + 3 u
= 13 u

Amount that Jade and Flynn each has in the end for Case 2
= 13 u ÷ 2
= 6.5 u

Amount that Flynn has at first is the same in Case 1 and Case 2.

10 u - 36 = 6.5 u + 48
10 u - 6.5 u = 48 + 36
3.5 u = 84 

1 u = 84 ÷ 3.5 = 24

Amount that Flynn has
= 10 u - 36
= 10 x 24 - 36
= 240 - 36
= $204 

(b)
Amount that Jade has
= 3 u + 36
= 3 x 24 + 36
= 72 + 36
= $108

Answer(s): (a) $204; (b) $108