Yen made 50 more pandan scones than coffee scones. After she gave away ⁴₇ of the pandan scones and ¹₈ of the coffee scones, there were an equal number of pandan scones and coffee scones left. How many pandan scones did she give away?

	Pandan scones	Coffee scones	Difference
Before	7x7 = 49 u	8x3 = 24 u	25 u
Change	- 4x7 = - 28 u	- 1x3 = - 3 u
After	3x7 = 21 u	7x3 = 21 u

Fraction of pandan scones left
= 1 - ⁴₇
= ³₇

Fraction of coffee scones left
= 1 - ¹₈
= ⁷₈

The number of pandan scones and coffee scones in the end is the same. Make the numerators the same.  LCM of 7 and 3 is 21.

³₇ of pandan scones = ⁷₈ of coffee scones
²¹₄₉ of pandan scones = ²¹₂₄ of coffee scones

Number of more pandan scones than coffee scones at first
= 49 u - 24 u
= 25 u

25 u = 50

1 u = 50 ÷ 25 = 2

Number of pandan scones that Yen gave away
= 49 u - 21 u
= 28 u
= 28 x 2
= 56

Answer(s): 56