Hazel used ³₇ of her brown stickers and ³₄ of her black stickers to decorate her diary. In the end, she had an equal number of brown stickers and black stickers left. Given that Hazel had a total of 46 brown and black stickers at first, how many black stickers did she use to decorate the diary?

	Brown stickers	Black stickers
Before	7x1 = 7 u	4x4 = 16 u
Change	- 3x1 = - 3 u	- 3x4 = - 12 u
After	4x1 = 4 u	1x4 = 4 u

The number of brown stickers and black stickers in the end is the same.  Make the number of brown stickers and black stickers in the end the same.  LCM of 4 and 1 is 4.

Total number of stickers that Hazel used to decorate the diary
= 7 u + 16 u
= 23 u

23 u = 46

1 u = 46 ÷ 23 = 2

Number of black stickers that Hazel used to decorate the diary
= 12 u
= 12 x 2
= 24

Answer(s): 24