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

	Pandan muffins	Apple muffins	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 pandan muffins left
= 1 - ⁵₇
= ²₇

Fraction of apple muffins left
= 1 - ¹₄
= ³₄

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

²₇ of pandan muffins = ³₄ of apple muffins
⁶₂₁ of pandan muffins = ⁶₈ of apple muffins

Number of more pandan muffins than apple muffins at first
= 21 u - 8 u
= 13 u

13 u = 39

1 u = 39 ÷ 13 = 3

Number of pandan muffins that Abi gave away
= 21 u - 6 u
= 15 u
= 15 x 3
= 45

Answer(s): 45