Archie had some chocolate chip puffs and strawberry puffs. ³₇ of the number of chocolate chip puffs was equal to ¹₆ of the number of strawberry puffs. After Archie made 68 more chocolate chip puffs, the number of chocolate chip puffs was ⁴₃ of the number of strawberry puffs. How many puffs did he have altogether in the end?
Make the numerators the same. LCM of 3 and 1 is 3.

37 of chocolate chip puffs = 1x36x3 of strawberry puffs

³₇ of chocolate chip puffs = ³₁₈ of strawberry puffs

	Chocolate chip puffs	Strawberry puffs	Total
Before	7 u	18 u
Change	+ 68
After	4x6 = 24 u	3x6 = 18 u	42 u

The number of strawberry puffs remains unchanged.  Make the number of strawberry puffs the same.  LCM of 3 and 18 is 18.

Number of more chocolate chip puffs made
= 24 u - 7 u
= 17 u

17 u = 68

1 u = 68 ÷ 17 = 4

Number of puffs that Archie had in the end
= 24 u + 18 u
= 42 u
= 42 x 4
= 168

Answer(s): 168