Valen had some cranberry cookies and apple cookies. ³₁₀ of the number of cranberry cookies was equal to ¹₈ of the number of apple cookies. After Valen made 368 more cranberry cookies, the number of cranberry cookies was ⁷₃ of the number of apple cookies. How many cookies did he have altogether in the end?
Make the numerators the same. LCM of 3 and 1 is 3.

310 of cranberry cookies = 1x38x3 of apple cookies

³₁₀ of cranberry cookies = ³₂₄ of apple cookies

	Cranberry cookies	Apple cookies	Total
Before	10 u	24 u
Change	+ 368
After	7x8 = 56 u	3x8 = 24 u	80 u

The number of apple cookies remains unchanged.  Make the number of apple cookies the same.  LCM of 3 and 24 is 24.

Number of more cranberry cookies made
= 56 u - 10 u
= 46 u

46 u = 368

1 u = 368 ÷ 46 = 8

Number of cookies that Valen had in the end
= 56 u + 24 u
= 80 u
= 80 x 8
= 640

Answer(s): 640