Gillian made 104 more apple cookies than pandan cookies. After she gave away ³₅ of the apple cookies and ¹₆ of the pandan cookies, there were an equal number of apple cookies and pandan cookies left. How many apple cookies did she give away?

	Apple cookies	Pandan cookies	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 apple cookies left
= 1 - ³₅
= ²₅

Fraction of pandan cookies left
= 1 - ¹₆
= ⁵₆

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

²₅ of apple cookies = ⁵₆ of pandan cookies
¹⁰₂₅ of apple cookies = ¹⁰₁₂ of pandan cookies

Number of more apple cookies than pandan cookies at first
= 25 u - 12 u
= 13 u

13 u = 104

1 u = 104 ÷ 13 = 8

Number of apple cookies that Gillian gave away
= 25 u - 10 u
= 15 u
= 15 x 8
= 120

Answer(s): 120