Dana made 39 more cream wafers than pandan wafers. After she gave away ⁵₇ of the cream wafers and ¹₄ of the pandan wafers, there were an equal number of cream wafers and pandan wafers left. How many cream wafers did she give away?

	Cream wafers	Pandan wafers	Difference
Before	7x3 = 21 u	4x2 = 8 u	13 u
Change	- 5x3 = - 15 u	- 1x2 = - 2 u
After	2x3 = 6 u	3x2 = 6 u

Fraction of cream wafers left
= 1 - ⁵₇
= ²₇

Fraction of pandan wafers left
= 1 - ¹₄
= ³₄

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

²₇ of cream wafers = ³₄ of pandan wafers
⁶₂₁ of cream wafers = ⁶₈ of pandan wafers

Number of more cream wafers than pandan wafers at first
= 21 u - 8 u
= 13 u

13 u = 39

1 u = 39 ÷ 13 = 3

Number of cream wafers that Dana gave away
= 21 u - 6 u
= 15 u
= 15 x 3
= 45

Answer(s): 45