Marion and Betty have some puffs each. If Marion gives Betty 20 puffs, Marion will have ²₉ as many puffs as Betty. If Marion gives Betty 14 puffs, they will have an equal number of puffs. How many puffs does Marion have at first?

	Case 1		Case 2
	Marion	Betty	Marion	Betty
Before	2 u + 20	9 u - 20	5.5 u + 14	5.5 u - 14
Change	- 20	+ 20	- 14	+ 14
After	2 u	9 u	5.5 u	5.5 u

Total number of puffs that Marion and Betty have
= 2 u + 9 u
= 11 u 

Number of puffs that Marion and Betty each has in the end is the same.

Number of puffs that Marion and Betty each has in the end in Case 2
= 11 u ÷ 2
= 5.5 u

Number of puffs that Marion had at first is the same in Case 1 and Case 2.

5.5 u + 14 = 2 u + 20
5.5 u - 2 u = 20 - 14
0.5 u = 6

1 u = 6 ÷ 0.5 = 12

Number of puffs that Marion has
= 2 u + 20
= 2 x 12 + 20
= 24 + 20
= 44

Answer(s): 44