Julie and Jade have some cupcakes each. If Julie gives Jade 17 cupcakes, Julie will have ¹₄ as many cupcakes as Jade. If Julie gives Jade 4 cupcakes, they will have an equal number of cupcakes. How many cupcakes does Jade have at first?

	Case 1		Case 2
	Julie	Jade	Julie	Jade
Before	1 u + 17	4 u - 17	2.5 u + 4	2.5 u - 4
Change	- 17	+ 17	- 4	+ 4
After	1 u	4 u	2.5 u	2.5 u

Total number of cupcakes that Julie and Jade have
= 1 u + 4 u
= 5 u 

Number of cupcakes that Julie and Jade each has in the end is the same.

Number of cupcakes that Julie and Jade each has in the end in Case 2
= 5 u ÷ 2
= 2.5 u

Number of cupcakes that Julie had at first is the same in Case 1 and Case 2.

2.5 u + 4 = 1 u + 17
2.5 u - 1 u = 17 - 4
0.5 u = 13

1 u = 13 ÷ 0.5 = 26

Number of cupcakes that Jade has
= 4 u - 17
= 4 x 26 - 17
= 104 - 17
= 87

Answer(s): 87