John had some chocolate chip macarons and strawberry macarons. ⁵₈ of the number of chocolate chip macarons was equal to ¹₇ of the number of strawberry macarons. After John made 65 more chocolate chip macarons, the number of chocolate chip macarons was ³₅ of the number of strawberry macarons. How many macarons did he have altogether in the end?
Make the numerators the same. LCM of 5 and 1 is 5.

58 of chocolate chip macarons = 1x57x5 of strawberry macarons

⁵₈ of chocolate chip macarons = ⁵₃₅ of strawberry macarons

	Chocolate chip macarons	Strawberry macarons	Total
Before	8 u	35 u
Change	+ 65
After	3x7 = 21 u	5x7 = 35 u	56 u

The number of strawberry macarons remains unchanged.  Make the number of strawberry macarons the same.  LCM of 5 and 35 is 35.

Number of more chocolate chip macarons made
= 21 u - 8 u
= 13 u

13 u = 65

1 u = 65 ÷ 13 = 5

Number of macarons that John had in the end
= 21 u + 35 u
= 56 u
= 56 x 5
= 280

Answer(s): 280