Archie and Tim gave away the same number of stickers. Archie gave away ³₄ of his stickers while Tim gave ⁴₉ of his stickers away. Given that Archie had 22 stickers less than Tim at first, how many stickers did Archie have at first?

	Archie	Tim
Before	4x4 = 16 u	9x3 = 27 u
Change	- 3x4 = - 12 u	- 4x3 = - 12 u
After	1x4 = 4 u	5x3 = 15 u

The number of stickers that Archie and Tim gave away is the same.  Make the number of stickers that Archie and Tim gave away the same. LCM of 3 and 4 is 12.

Number of stickers that Archie had at first = 16 u
Number of stickers that Tim had at first = 27 u

Number of stickers that Archie had less than Tim at first
= 27 u - 16 u
= 11 u

11 u = 22

1 u = 22 ÷ 11 = 2

Number of stickers that Archie had at first
= 16 u
= 16 x 2
= 32

Answer(s): 32