If Kylie gives Michael $24, the amount of money she has will be 25% of his. If Michael gives Kylie $6, he will have the same amount of money as her. How much money did each of them have?
(a) Michael
(b) Kylie

	Case 1		Case 2
	Michael	Kylie	Michael	Kylie
Before	4 u - 24	1 u + 24	2.5 u + 6	2.5 u - 6
Change	+ 24	- 24	- 6	+ 6
After	4 u	1 u	2.5 u	2.5 u

(a)
25% = ²⁵₁₀₀ = ¹₄

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

In Case 2, when Michael gives to Kylie, there is an internal transfer of money from Michael to Kylie. 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 Kylie and Michael have
= 4 u + 1 u
= 5 u

Amount that Kylie and Michael each has in the end for Case 2
= 5 u ÷ 2
= 2.5 u

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

4 u - 24 = 2.5 u + 6
4 u - 2.5 u = 6 + 24
1.5 u = 30 

1 u = 30 ÷ 1.5 = 20

Amount that Michael has
= 4 u - 24
= 4 x 20 - 24
= 80 - 24
= $56 

(b)
Amount that Kylie has
= 1 u + 24
= 1 x 20 + 24
= 20 + 24
= $44

Answer(s): (a) $56; (b) $44