Yoko made 35 more pandan cookies than banana cookies. After she gave away ³₇ of the pandan cookies and ¹₄ of the banana cookies, there were an equal number of pandan cookies and banana cookies left. How many pandan cookies did she give away?

	Pandan cookies	Banana cookies	Difference
Before	7x3 = 21 u	4x4 = 16 u	5 u
Change	- 3x3 = - 9 u	- 1x4 = - 4 u
After	4x3 = 12 u	3x4 = 12 u

Fraction of pandan cookies left
= 1 - ³₇
= ⁴₇

Fraction of banana cookies left
= 1 - ¹₄
= ³₄

The number of pandan cookies and banana cookies in the end is the same. Make the numerators the same.  LCM of 3 and 4 is 12.

⁴₇ of pandan cookies = ³₄ of banana cookies
¹²₂₁ of pandan cookies = ¹²₁₆ of banana cookies

Number of more pandan cookies than banana cookies at first
= 21 u - 16 u
= 5 u

5 u = 35

1 u = 35 ÷ 5 = 7

Number of pandan cookies that Yoko gave away
= 21 u - 12 u
= 9 u
= 9 x 7
= 63

Answer(s): 63