Warren had some cranberry muffins and vanilla muffins. ⁵₈ of the number of cranberry muffins was equal to ¹₆ of the number of vanilla muffins. After Warren made 60 more cranberry muffins, the number of cranberry muffins was ³₅ of the number of vanilla muffins. How many muffins did he have altogether in the end?
Make the numerators the same. LCM of 5 and 1 is 5.

58 of cranberry muffins = 1x56x5 of vanilla muffins

⁵₈ of cranberry muffins = ⁵₃₀ of vanilla muffins

	Cranberry muffins	Vanilla muffins	Total
Before	8 u	30 u
Change	+ 60
After	3x6 = 18 u	5x6 = 30 u	48 u

The number of vanilla muffins remains unchanged.  Make the number of vanilla muffins the same.  LCM of 5 and 30 is 30.

Number of more cranberry muffins made
= 18 u - 8 u
= 10 u

10 u = 60

1 u = 60 ÷ 10 = 6

Number of muffins that Warren had in the end
= 18 u + 30 u
= 48 u
= 48 x 6
= 288

Answer(s): 288