Flynn had some cherry wafers and vanilla wafers. ²₃ of the number of cherry wafers was equal to ¹₇ of the number of vanilla wafers. After Flynn made 40 more cherry wafers, the number of cherry wafers was ¹₂ of the number of vanilla 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 cherry wafers = 1x27x2 of vanilla wafers

²₃ of cherry wafers = ²₁₄ of vanilla wafers

	Cherry wafers	Vanilla wafers	Total
Before	3 u	14 u
Change	+ 40
After	1x7 = 7 u	2x7 = 14 u	21 u

The number of vanilla wafers remains unchanged.  Make the number of vanilla wafers the same.  LCM of 2 and 14 is 14.

Number of more cherry wafers made
= 7 u - 3 u
= 4 u

4 u = 40

1 u = 40 ÷ 4 = 10

Number of wafers that Flynn had in the end
= 7 u + 14 u
= 21 u
= 21 x 10
= 210

Answer(s): 210