Bryan had some strawberry biscuits and chocolate chip biscuits. ³₇ of the number of strawberry biscuits was equal to ¹₄ of the number of chocolate chip biscuits. After Bryan made 72 more strawberry biscuits, the number of strawberry biscuits was ⁴₃ of the number of chocolate chip biscuits. How many biscuits did he have altogether in the end?
Make the numerators the same. LCM of 3 and 1 is 3.

37 of strawberry biscuits = 1x34x3 of chocolate chip biscuits

³₇ of strawberry biscuits = ³₁₂ of chocolate chip biscuits

	Strawberry biscuits	Chocolate chip biscuits	Total
Before	7 u	12 u
Change	+ 72
After	4x4 = 16 u	3x4 = 12 u	28 u

The number of chocolate chip biscuits remains unchanged.  Make the number of chocolate chip biscuits the same.  LCM of 3 and 12 is 12.

Number of more strawberry biscuits made
= 16 u - 7 u
= 9 u

9 u = 72

1 u = 72 ÷ 9 = 8

Number of biscuits that Bryan had in the end
= 16 u + 12 u
= 28 u
= 28 x 8
= 224

Answer(s): 224