Peter had some banana macarons and blueberry macarons. ³₁₀ of the number of banana macarons was equal to ¹₄ of the number of blueberry macarons. After Peter made 54 more banana macarons, the number of banana macarons was ⁷₃ of the number of blueberry macarons. How many macarons did he have altogether in the end?
Make the numerators the same. LCM of 3 and 1 is 3.

310 of banana macarons = 1x34x3 of blueberry macarons

³₁₀ of banana macarons = ³₁₂ of blueberry macarons

	Banana macarons	Blueberry macarons	Total
Before	10 u	12 u
Change	+ 54
After	7x4 = 28 u	3x4 = 12 u	40 u

The number of blueberry macarons remains unchanged.  Make the number of blueberry macarons the same.  LCM of 3 and 12 is 12.

Number of more banana macarons made
= 28 u - 10 u
= 18 u

18 u = 54

1 u = 54 ÷ 18 = 3

Number of macarons that Peter had in the end
= 28 u + 12 u
= 40 u
= 40 x 3
= 120

Answer(s): 120