Asher had some blueberry shortbreads and cherry shortbreads. ³₈ of the number of blueberry shortbreads was equal to ¹₈ of the number of cherry shortbreads. After Asher made 96 more blueberry shortbreads, the number of blueberry shortbreads was ⁵₃ of the number of cherry shortbreads. How many shortbreads did he have altogether in the end?
Make the numerators the same. LCM of 3 and 1 is 3.

38 of blueberry shortbreads = 1x38x3 of cherry shortbreads

³₈ of blueberry shortbreads = ³₂₄ of cherry shortbreads

	Blueberry shortbreads	Cherry shortbreads	Total
Before	8 u	24 u
Change	+ 96
After	5x8 = 40 u	3x8 = 24 u	64 u

The number of cherry shortbreads remains unchanged.  Make the number of cherry shortbreads the same.  LCM of 3 and 24 is 24.

Number of more blueberry shortbreads made
= 40 u - 8 u
= 32 u

32 u = 96

1 u = 96 ÷ 32 = 3

Number of shortbreads that Asher had in the end
= 40 u + 24 u
= 64 u
= 64 x 3
= 192

Answer(s): 192