Gillian used ⁴₇ of her grey stickers and ³₅ of her purple stickers to decorate her diary. In the end, she had an equal number of grey stickers and purple stickers left. Given that Gillian had a total of 232 grey and purple stickers at first, how many purple stickers did she use to decorate the diary?

	Grey stickers	Purple stickers
Before	7x2 = 14 u	5x3 = 15 u
Change	- 4x2 = - 8 u	- 3x3 = - 9 u
After	3x2 = 6 u	2x3 = 6 u

The number of grey stickers and purple stickers in the end is the same.  Make the number of grey stickers and purple stickers in the end the same.  LCM of 3 and 2 is 6.

Total number of stickers that Gillian used to decorate the diary
= 14 u + 15 u
= 29 u

29 u = 232

1 u = 232 ÷ 29 = 8

Number of purple stickers that Gillian used to decorate the diary
= 9 u
= 9 x 8
= 72

Answer(s): 72