Olivia used ²₅ of her blue stickers and ²₇ of her brown stickers to decorate her diary. In the end, she had an equal number of blue stickers and brown stickers left. Given that Olivia had a total of 276 blue and brown stickers at first, how many brown stickers did she use to decorate the diary?

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

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

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

46 u = 276

1 u = 276 ÷ 46 = 6

Number of brown stickers that Olivia used to decorate the diary
= 6 u
= 6 x 6
= 36

Answer(s): 36