Kylie made 90 more pandan cupcakes than coffee cupcakes. After she gave away ²₇ of the pandan cupcakes and ¹₈ of the coffee cupcakes, there were an equal number of pandan cupcakes and coffee cupcakes left. How many pandan cupcakes did she give away?

	Pandan cupcakes	Coffee cupcakes	Difference
Before	7x7 = 49 u	8x5 = 40 u	9 u
Change	- 2x7 = - 14 u	- 1x5 = - 5 u
After	5x7 = 35 u	7x5 = 35 u

Fraction of pandan cupcakes left
= 1 - ²₇
= ⁵₇

Fraction of coffee cupcakes left
= 1 - ¹₈
= ⁷₈

The number of pandan cupcakes and coffee cupcakes in the end is the same. Make the numerators the same.  LCM of 7 and 5 is 35.

⁵₇ of pandan cupcakes = ⁷₈ of coffee cupcakes
³⁵₄₉ of pandan cupcakes = ³⁵₄₀ of coffee cupcakes

Number of more pandan cupcakes than coffee cupcakes at first
= 49 u - 40 u
= 9 u

9 u = 90

1 u = 90 ÷ 9 = 10

Number of pandan cupcakes that Kylie gave away
= 49 u - 35 u
= 14 u
= 14 x 10
= 140

Answer(s): 140