Jean and Fanny have some muffins each. If Jean gives Fanny 15 muffins, Jean will have ⁵₈ as many muffins as Fanny. If Jean gives Fanny 13 muffins, they will have an equal number of muffins. How many muffins does Jean have at first?

	Case 1		Case 2
	Jean	Fanny	Jean	Fanny
Before	5 u + 15	8 u - 15	6.5 u + 13	6.5 u - 13
Change	- 15	+ 15	- 13	+ 13
After	5 u	8 u	6.5 u	6.5 u

Total number of muffins that Jean and Fanny have
= 5 u + 8 u
= 13 u 

Number of muffins that Jean and Fanny each has in the end is the same.

Number of muffins that Jean and Fanny each has in the end in Case 2
= 13 u ÷ 2
= 6.5 u

Number of muffins that Jean had at first is the same in Case 1 and Case 2.

6.5 u + 13 = 5 u + 15
6.5 u - 5 u = 15 - 13
0.5 u = 2

1 u = 2 ÷ 0.5 = 4

Number of muffins that Jean has
= 5 u + 15
= 5 x 4 + 15
= 20 + 15
= 35

Answer(s): 35