Natalie made 28 more coffee wafers than cream wafers. After she gave away ³₅ of the coffee wafers and ¹₄ of the cream wafers, there were an equal number of coffee wafers and cream wafers left. How many coffee wafers did she give away?

	Coffee wafers	Cream wafers	Difference
Before	5x3 = 15 u	4x2 = 8 u	7 u
Change	- 3x3 = - 9 u	- 1x2 = - 2 u
After	2x3 = 6 u	3x2 = 6 u

Fraction of coffee wafers left
= 1 - ³₅
= ²₅

Fraction of cream wafers left
= 1 - ¹₄
= ³₄

The number of coffee wafers and cream wafers in the end is the same. Make the numerators the same.  LCM of 3 and 2 is 6.

²₅ of coffee wafers = ³₄ of cream wafers
⁶₁₅ of coffee wafers = ⁶₈ of cream wafers

Number of more coffee wafers than cream wafers at first
= 15 u - 8 u
= 7 u

7 u = 28

1 u = 28 ÷ 7 = 4

Number of coffee wafers that Natalie gave away
= 15 u - 6 u
= 9 u
= 9 x 4
= 36

Answer(s): 36