Oscar had some vanilla scones and chocolate chip scones. ²₃ of the number of vanilla scones was equal to ¹₈ of the number of chocolate chip scones. After Oscar made 55 more vanilla scones, the number of vanilla scones was ¹₂ of the number of chocolate chip scones. How many scones did he have altogether in the end?
Make the numerators the same. LCM of 2 and 1 is 2.

23 of vanilla scones = 1x28x2 of chocolate chip scones

²₃ of vanilla scones = ²₁₆ of chocolate chip scones

	Vanilla scones	Chocolate chip scones	Total
Before	3 u	16 u
Change	+ 55
After	1x8 = 8 u	2x8 = 16 u	24 u

The number of chocolate chip scones remains unchanged.  Make the number of chocolate chip scones the same.  LCM of 2 and 16 is 16.

Number of more vanilla scones made
= 8 u - 3 u
= 5 u

5 u = 55

1 u = 55 ÷ 5 = 11

Number of scones that Oscar had in the end
= 8 u + 16 u
= 24 u
= 24 x 11
= 264

Answer(s): 264