Raeann made 39 more mocca wafers than pandan wafers. After she gave away ³₅ of the mocca wafers and ¹₆ of the pandan wafers, there were an equal number of mocca wafers and pandan wafers left. How many mocca wafers did she give away?

	Mocca wafers	Pandan wafers	Difference
Before	5x5 = 25 u	6x2 = 12 u	13 u
Change	- 3x5 = - 15 u	- 1x2 = - 2 u
After	2x5 = 10 u	5x2 = 10 u

Fraction of mocca wafers left
= 1 - ³₅
= ²₅

Fraction of pandan wafers left
= 1 - ¹₆
= ⁵₆

The number of mocca wafers and pandan wafers in the end is the same. Make the numerators the same.  LCM of 5 and 2 is 10.

²₅ of mocca wafers = ⁵₆ of pandan wafers
¹⁰₂₅ of mocca wafers = ¹⁰₁₂ of pandan wafers

Number of more mocca wafers than pandan wafers at first
= 25 u - 12 u
= 13 u

13 u = 39

1 u = 39 ÷ 13 = 3

Number of mocca wafers that Raeann gave away
= 25 u - 10 u
= 15 u
= 15 x 3
= 45

Answer(s): 45