Billy had some vanilla wafers and cheese wafers. ²₃ of the number of vanilla wafers was equal to ¹₄ of the number of cheese wafers. After Billy made 8 more vanilla wafers, the number of vanilla wafers was ¹₂ of the number of cheese wafers. How many wafers did he have altogether in the end?
Make the numerators the same. LCM of 2 and 1 is 2.

23 of vanilla wafers = 1x24x2 of cheese wafers

²₃ of vanilla wafers = ²₈ of cheese wafers

	Vanilla wafers	Cheese wafers	Total
Before	3 u	8 u
Change	+ 8
After	1x4 = 4 u	2x4 = 8 u	12 u

The number of cheese wafers remains unchanged.  Make the number of cheese wafers the same.  LCM of 2 and 8 is 8.

Number of more vanilla wafers made
= 4 u - 3 u
= 1 u

1 u = 8

1 u = 8 ÷ 1 = 8

Number of wafers that Billy had in the end
= 4 u + 8 u
= 12 u
= 12 x 8
= 96

Answer(s): 96