Abi used ²₇ of her white stickers and ²₅ of her purple stickers to decorate her diary. In the end, she had an equal number of white stickers and purple stickers left. Given that Abi had a total of 322 white and purple stickers at first, how many purple stickers did she use to decorate the diary?

	White stickers	Purple stickers
Before	7x3 = 21 u	5x5 = 25 u
Change	- 2x3 = - 6 u	- 2x5 = - 10 u
After	5x3 = 15 u	3x5 = 15 u

The number of white stickers and purple stickers in the end is the same.  Make the number of white stickers and purple stickers in the end the same.  LCM of 5 and 3 is 15.

Total number of stickers that Abi used to decorate the diary
= 21 u + 25 u
= 46 u

46 u = 322

1 u = 322 ÷ 46 = 7

Number of purple stickers that Abi used to decorate the diary
= 10 u
= 10 x 7
= 70

Answer(s): 70