Gabby made 22 more apple muffins than blueberry muffins. After she gave away ²₅ of the apple muffins and ¹₈ of the blueberry muffins, there were an equal number of apple muffins and blueberry muffins left. How many apple muffins did she give away?

	Apple muffins	Blueberry muffins	Difference
Before	5x7 = 35 u	8x3 = 24 u	11 u
Change	- 2x7 = - 14 u	- 1x3 = - 3 u
After	3x7 = 21 u	7x3 = 21 u

Fraction of apple muffins left
= 1 - ²₅
= ³₅

Fraction of blueberry muffins left
= 1 - ¹₈
= ⁷₈

The number of apple muffins and blueberry muffins in the end is the same. Make the numerators the same.  LCM of 7 and 3 is 21.

³₅ of apple muffins = ⁷₈ of blueberry muffins
²¹₃₅ of apple muffins = ²¹₂₄ of blueberry muffins

Number of more apple muffins than blueberry muffins at first
= 35 u - 24 u
= 11 u

11 u = 22

1 u = 22 ÷ 11 = 2

Number of apple muffins that Gabby gave away
= 35 u - 21 u
= 14 u
= 14 x 2
= 28

Answer(s): 28