Asher had some apricot muffins and cheese muffins. ³₁₀ of the number of apricot muffins was equal to ¹₃ of the number of cheese muffins. After Asher made 66 more apricot muffins, the number of apricot muffins was ⁷₃ of the number of cheese muffins. How many muffins did he have altogether in the end?
Make the numerators the same. LCM of 3 and 1 is 3.

310 of apricot muffins = 1x33x3 of cheese muffins

³₁₀ of apricot muffins = ³₉ of cheese muffins

	Apricot muffins	Cheese muffins	Total
Before	10 u	9 u
Change	+ 66
After	7x3 = 21 u	3x3 = 9 u	30 u

The number of cheese muffins remains unchanged.  Make the number of cheese muffins the same.  LCM of 3 and 9 is 9.

Number of more apricot muffins made
= 21 u - 10 u
= 11 u

11 u = 66

1 u = 66 ÷ 11 = 6

Number of muffins that Asher had in the end
= 21 u + 9 u
= 30 u
= 30 x 6
= 180

Answer(s): 180