Cathy and Zara have some muffins each. If Cathy gives Zara 32 muffins, Cathy will have ⁴₅ as many muffins as Zara. If Cathy gives Zara 8 muffins, they will have an equal number of muffins. How many muffins does Zara have at first?

	Case 1		Case 2
	Cathy	Zara	Cathy	Zara
Before	4 u + 32	5 u - 32	4.5 u + 8	4.5 u - 8
Change	- 32	+ 32	- 8	+ 8
After	4 u	5 u	4.5 u	4.5 u

Total number of muffins that Cathy and Zara have
= 4 u + 5 u
= 9 u 

Number of muffins that Cathy and Zara each has in the end is the same.

Number of muffins that Cathy and Zara each has in the end in Case 2
= 9 u ÷ 2
= 4.5 u

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

4.5 u + 8 = 4 u + 32
4.5 u - 4 u = 32 - 8
0.5 u = 24

1 u = 24 ÷ 0.5 = 48

Number of muffins that Zara has
= 5 u - 32
= 5 x 48 - 32
= 240 - 32
= 208

Answer(s): 208